The cadets usually stay at the flats provided by AA. It is some 2 mins drive from the sharjah airport. Atm only one person in AAA is a national. Rest are from Bahrain, Oman, India, Pakistan and UK.
Sadly, I cannot answer your remaining questions. At the moment no one from AAA has reached the stage that they can get a place in AA. They are atm in the A320 sim stage.
As for MPL, I think Emirates will in the future accept MPL student without converting to ATPL.