take apart your controller with a torx t8 or t9 and just disconnect it from the board
yes
When turning on your controller, it will try and find your Xbox. This will only take 2 seconds around. If you controller takes more time to connect, this could be a controller issue.
no in less you take the ends and switch them
When you open your Xbox 360 wireless controller, take off the rubber padding underneath the buttons and to the bottom right of where the "A" button's receiver is there should be 3 vertical prongs. You should solder anywhere from a 24-30 gauge wire onto that jint with extra caution not to burn it out. If you look where the rumble packs are connected there are 2 horizontal prongs. You can solder to either of them and it will work. This will work with any prong or metal in the controller with electrical flow going to it. When you solder the wire I recommend getting a push button to choose when you want it to fire rapid.
90 minutes
it is simple. take out the screws on the back.
About 90mins
Take it to be repaired or buy a new one
AA, or you can buy controller with a battery pack so you just charge it from Xbox and don't have to worry about buying batteries all the time
It only takes a couple of seconds. When syncing the controller have both your Xbox and controller on. Hold the button on your Xbox (the one to the right of where memory units plug in on the front) and wait until the rings on the console flash, then press the tiny button on the front of your controller between the two bumpers and wait until it syncs with your Xbox.
charge it, turn it on, take out the battery and dry it with a towel
Yes. but it will take a while to sync like 5 minutes. Good luck. :)