1, the transfer should be immediate, but you will have to quit your fc and make sure you don't have anything listed on the markets, etc. before doing the transfer.

2. If you have your name reserved on the new server you should be able to delete the character holding the name and transfer afterwards. If you plan on changing your name, just don't delete the character and it'll force you to name change when you transfer your main to that server.

3. Yes, if there are restrictions on the server you should be able to wait till off hours and transfer then, the restrictions will be lifted. Depends on the server as to how much trouble you'll have finding a good time though. Some of the more popular ones tend to be pretty crowded up into the wee hours of the morning. But it's possible.