Xbox 360 Problems Times 2

No, I don't have the RROD.
I have two problems with my Xbox 360. Maybe someone here knows how to solve them.
I have two controllers in my house, and both insist that they're first player. I initially had the one, and used that one exclusively. Then my sister and her boyfriend, also with an Xbox 360, moved in. One day I grabbed their controller and used it (probably the closest one at hand) without my first one being on. It naturally took the first person slot. But the other day I tried to play a multiplayer game with a friend of mine. Now I can't get one or the other to give up that first person slot. And only my controller is recognized by the Xbox, even though both are on and the center Xbox button is lit up as first player on both. Only one works and the other one is ignored. This is probably because both insist they're first player and the Xbox only has room for one first player. But for the life of me I can't get one to go to second player. I tried the button on the back of the controller, thinking it would reset the controller. The center Xbox button flashed, but the controller went right back to first player after a few seconds. I tried shutting the Xbox off and restarting. Everything. Nothing worked. So I can't get two players on the Xbox. Seems to me this wireless thing is just a curse in disguise for multiplayer games.
My second problem is that I don't think my charger is working. I bought a Microsoft Xbox controller charger (yes, the official Microsoft brand, not a third-party one) and it worked out great for the first month or so. Now it seems that the battery that it came with only holds a charge for a couple hours. I'll charge up the controller, then use it wirelessly, turn off the Xbox, and come back and suddenly the controller has no charge. It never dies in the middle of a play session, only when I start up again. This makes me suspect something. So I have to charge it up again every time. I now use the controller more with the charger plugged in than wirelessly. It's only maybe 3 months old. The green button on the charger will come on, meaning that the battery has a full charge, but it only lasts a short time, and only dies between sessions.
Does anybody know any solutions to either of these problems?
I have two problems with my Xbox 360. Maybe someone here knows how to solve them.
I have two controllers in my house, and both insist that they're first player. I initially had the one, and used that one exclusively. Then my sister and her boyfriend, also with an Xbox 360, moved in. One day I grabbed their controller and used it (probably the closest one at hand) without my first one being on. It naturally took the first person slot. But the other day I tried to play a multiplayer game with a friend of mine. Now I can't get one or the other to give up that first person slot. And only my controller is recognized by the Xbox, even though both are on and the center Xbox button is lit up as first player on both. Only one works and the other one is ignored. This is probably because both insist they're first player and the Xbox only has room for one first player. But for the life of me I can't get one to go to second player. I tried the button on the back of the controller, thinking it would reset the controller. The center Xbox button flashed, but the controller went right back to first player after a few seconds. I tried shutting the Xbox off and restarting. Everything. Nothing worked. So I can't get two players on the Xbox. Seems to me this wireless thing is just a curse in disguise for multiplayer games.
My second problem is that I don't think my charger is working. I bought a Microsoft Xbox controller charger (yes, the official Microsoft brand, not a third-party one) and it worked out great for the first month or so. Now it seems that the battery that it came with only holds a charge for a couple hours. I'll charge up the controller, then use it wirelessly, turn off the Xbox, and come back and suddenly the controller has no charge. It never dies in the middle of a play session, only when I start up again. This makes me suspect something. So I have to charge it up again every time. I now use the controller more with the charger plugged in than wirelessly. It's only maybe 3 months old. The green button on the charger will come on, meaning that the battery has a full charge, but it only lasts a short time, and only dies between sessions.
Does anybody know any solutions to either of these problems?