Firstly you and all need to get over the Baha'i running the world, the Baha'i's do not want to run the world and will not. The next step is the Lesser Peace, where humanity will choose a world legislative run by all the Nations. The foundation details to this have been given on numerous occasions.
The Baha'is already have a successfull world administration, so even though Baha'i have faults, the system addresses these issues and functions efficiently. So yes it is working. It is the embryo of what is to come.
Great thing is Baha'i come from all walks of life and everyone can be voted on to an assembly, not only the privileged and the educated, we have guidance who to vote for.
I saw all those questions you asked about 19 day feasts answered. Currently The feasts are broken down to neighbourhood level, so a large community may have 10 feast locations. The key here is this is only the embryo and when the time comes what has been envisaged in the wrirings of Baha’u’llah will be put in place by the Universal House of Justice when it deems the time has come to do just that. The Local Spiritual Assemblies will become 'House of Justice' and each location will have one.
"..The Lord hath ordained that in every city a House of Justice be established wherein shall gather counselors to the number of Bahá (9), and should it exceed this number it doth not matter..." Kitáb-i-Aqdas Baha'u'llah.
There are obvious reasons as to why this could not happen even at this time. No Nation will yet allow the Baha'i to run its own Houses of Justice and enact Baha'i Law, so most of it is on hold until the Bahai Universal House of Justice enacts it.
So it was Abdul-Baha that gave instructions for the setting up of special or secondary Houses of Justice which would be established in each country and would elect the members of the general or universal House of Justice. Shoghi Effendi interpreted this to mean that Houses of Justice would eventually be established at local, national, and international levels and be proceeded, from 1923 onward, with the formation of national Spiritual Assemblies, which he identified with the secondary Houses of Justice.
A brief history of the Baha'i Institution can be read here.
Regards Tony