Do Army Reserve Soldiers Get Full BAH While On IET (BCT and AIT)?

Hi all, thank you for spending your time to read my question, and I would like to apologize if it seems too long but I would like to explain my situation as much as I can so someone can provide me a guidance on my BAH issue.
I am SPC Park and I just graduated from AIT in August.
Before I left for BCT and AIT, I was told by my recruiter that Army Reserve soldiers get paid full BAH while in BCT and AIT regardless of his/her marital status.
And I happen to personally know a handful of soldiers who are single and Army Reservist like myself, and got paid full BAH while in BCT and AIT.
So I brought my apartment lease contract to BCT and I did the paperwork during reception.
But for some reason my lease contract came back to me because whoever looked at it did not like it so I had to make a few changes (i.e., get rid of my roommates's names from the lease contract because they wanted just my name on it for accountability purpose).
So my drill sergeant and I filed a 5960 with a copy of new lease contract and I graduated from BCT after a few weeks.
I was still not receiving my BAH in AIT, so I did another 5960 with my AIT drill sergeant and 3 months passed by and now I am back in my reserve unit in JBLM, Washington.
Last week, I was at my reserve unit's RPAC for in-processing and the civilian lady who in-processed me told me that I would not be able to have my BAH get back paid because soldiers who are not married do not get BAH whatsoever.
I had a different pay issue as well while I was in IET and I was underpaid about $16,000, and at the moment, I cannot even afford to pay my rent after this month (the rent for my tiny apartment in Seattle is about $2000 a month).
What confuses me is that I know single soldiers that got paid full BAH while in IET and even my recruiter told me that I will be paid full BAH because I am in the Reserve.
So it seems that now I will have to persuade my unit RPAC that single Reserve soldiers do get paid full BAH while in IET but I do not have any strong background knowledge to change their mind.
So I was doing some research online but I could not really find helpful information and somehow I found this website.
It is a very frustrating situation for me because I thought if anyone, RPAC and unit HR would be the one to help me on this issue but now I feel like I am on my own.
Anyhow, I was wondering if anyone happens to know any memorandum or reference I could use to persuade my unit RPAC?
I asked my team leader and he told me he did not get paid BAH while in IET so I should not worry about it either but I really need this money to go back to school and pay my rent this winter.
I would like to thank everyone for reading this long and boring question and I would appreciate any help and/or advice.