yes if you have codes. You do get the prize for beating them the first time, however. :p
yes
Yes, you get to keep every one of your Pokemon on the game you transfer them from. It just copies the Pokemon to Battle Revolution, so you keep all of them on both games.
no it is given back to the trainer if you lose you have to beat to keep
Yes but you can't change it on Pokemon Battle Revolution
no way, except you use cheat
Shift is when after you faint a Pokemon the game asks you if you want to change Pokemon if you have more than one and battle is when you keep the same Pokemon though the whole battle or at least until it faints.
keep doing the battle tower
Yes, their Pokemon loses their Item during the battle, and I think you keep the Item that your Pokemon stole.
No. but if you unlock the trade battle in the gateway colesuem, you can trade Pokemon with your opponents including the colesuem leader. If you beat the colesuem, you get to keep your altered team.
Yes, you keep the Pokemon from Johto when you get into Kanto, otherwise you wouldn't be able to battle the Elite Four!
just keep winning the battle tower till you face him
Keep it as your first Pokemon then swicth it out in the begginig of a battle