But beyond that, Baha’u'llah leaves it up to and indeed empowers human beings — through the power of human agency guided by spiritual principles — to achieve such a change.

The equality of men and women has a similar connotation. It is presented to us as an ideal to achieve through the collective power of human agency. Baha’u'llah explicitly mentions in His Writings that the meaning of why only men may serve on the Universal House of Justice will one day become clear. So there is no subterfuge in this restriction, nor is there any attempt to hide nor dismiss it. Rather, it is open to discuss. Further, Abdu’l-Baha discussed many matters related to this topic, both in response to questions and spontaneously. For example, He explained that in the future so-called “male qualities” of aggressiveness and domination would be subsumed by so-called “female qualities” of cooperation and conciliation. We also learn from Abdu’l-Baha that world peace is predicated on the equilibration of men and women, and the raising up of the status of women in society. These are profound and extraordinary statements of a truly visionary nature.

The person who asked the question “Bahai says that men and women are equal. How do you explain this (male membership on the Universal House of Justice) then?” appears to be someone who is antagonistic to the Baha’i Faith. I am sorry that he/she feels that way. His/her statements suggest a desire not to have a dialog, but rather just to be critical in an attempt to denigrate the Baha’i Faith. Yet it is still possible to have a dialog on this particular topic. With regard to this specific issue, aside from the fact that Baha’u'llah explicit tells us that someday will come to understand the reason, we can also consider the matter. We Baha’is are used to such darts being thrown at us.

If we look at the world today, we can see that the main factor holding back women in society, and repressing them, is male behaviour and attitudes. It is males who are the problem in the issue of the inequality of men and women; not women per se. Thus, it is males who have to make the biggest change in order to achieve this noble goal. Do males have the agency to do so? Who might best set the role model to achieve it; men or women? Obviously, the answer to these questions is yes, men do have the agency (inner capacity) to achieve it; and that it is men who can best provide the role model by which other men can be persuaded to agree to work hard together to achieve this noble goal. Thus, the men of the Universal House of Justice provide that model and are working toward that goal. They may even legislate on the matter. In fact, the face of the International Baha’i Community is the face of women, who serve as representatives to the United Nations and in many other highly visible and important capacities.

Rather than argue about it, let’s work together as a world community to achieve this noble goal, and thereby change the face of human society in a positive way.

Secondly, the Baha’i Faith rests on the equality of men and women as one of its core concepts. However, as many have pointed out in the past, "equality" does not always translate to "identical" (whether in a Baha’i context or a larger context). The Faith recognizes that people all have different capacities.

All that being said:

Polygamy is forbidden in the Baha’i Faith. While Baha’u'llah in the Kitab-i-Aqdas (book of laws, one of the central books of the faith) allowed for husbands to have two wives, it is well-understood to be a rule to accomodate transition for Muslims to the Faith. Later, ‘Abdu’l-Baha (whose interpretation of the religion’s rules is considered infallible) strictly prohibited polygamy signifying that the transitional period was closed.

It is true that the UHJ is an all-male body. Ruhhiyih Khanum (the wife of Shoghi Effendi) was not eligible, nor ever served on, the UHJ. There is no easy answer to why this body is all-male, not even within the Baha’i community. Most Baha’is, men and women alike, take it on Faith that there is a reason unbeknownst to us yet.

The rules on travel that you mentioned are (to the best of my knowledge) largely considered to be obsolete, as they were provided during a time when the fastest transportation available was a horse and travel was extremely dangerous in some parts of the world. You would be hard-pressed to find those rules enforced in modern times.

Rules of inheritance in the Baha’i Faith are very complicated, but it’s EXTREMELY important to point out that those rules only kick in when the deceased has died intestate. In those cases the rules are provided with the hope of having maximum positive effect, but also keep in mind their context–19th century Persia, where it was extremely difficult for a woman to be head of household, much less be employed. If the deceased has written a will, it is completely up to him or her how s/he assigns wealth and property to his/her inheritors–including women. Critics frequently use the Baha’i rules of inheritance to attack the Faith, but the fact remains that those rules are rarely implemented even in modern society where civil laws tend to trump religious ones.

Rules of "maintenance of women" and "household chores", I’m not familiar with the rules you refer to. Again, please keep in mind the context in which these rules wre written–19th century, male-dominated Persia. The rules were not written to suppress women, they were written to allow women as much freedom as could be reasonably expected within a society that was overwhelmingly Muslim and overwhelmingly male-dominated. Even if a Baha’i believes in the complete equality of men and women, there’s nothing that says the dominant society where that Baha’i lives has to accomodate his/her ideas. Baha’u'llah recognized that.

Referring to pilgrimage, women are allowed to make pilgrimage. In fact I’m close friends with a woman who just went on a pilgrimage a few weeks ago. Regarding "Tahera", I’m assuming you’re referring to the women whose name Baha’is spell as "Tahirih" in English. I’m sure you would discover with more investigation that moving bodies, especially in the formative age of the Faith, was extremely difficult and dangerous. As far as I’m aware, only The Bab’s remains were brought to Akka from Persia and that was done so at great peril. If there is ever a time when it is safe for Baha’is to pilgrimage to Iran, I’m sure that other important sites such as the one you mentioned will be included in the route.

Women are exempted from fasting during menstruation because of health reasons. (It is not for reasons of purity as someone has mentioned.) The Baha’i version of fasting places a very heavy emphasis on its symbolic significance, and as such those who would be endangered by fasting are not required to do it. Also, anyone (men or women) who misses fasting days for any reason is not required to make up those days (although they certainly can if they wish to).
References :
Lifelong Baha’i

Polygamy is not acceptable in the Baha’i Faith.

Women are not banned from hajj. They simply are not required. Your own quoted site even says so: http://www.bahaiawareness.com/shariat.html. In the time of Baha’u'llah, travel for women was often much more difficult than for men.

Likewise, not keeping fasts during menstruation is partially a health issue. The old, sick, children, and pregnant are likewise exempt. It’s probably also a purity issue. Lots of religions consider women ritually unclean during menstruation. (The Old Testament has similar statements). Otherwise, women are expected to fast.

Lots of Baha’is have died. Most are not included in the Hajj. You’re cherry picking.
References :
Not a Baha’i, but studying the subject

Practicing Shaman… quantum physics rocks.
References :