Do I have to give proofs of working?
Yes, we need to see evidence of your current employment status. You should ask your employer to write a letter and to sign and date it. Or you could use a recent pay slip.
In case I change my name, should I use an ID with my current name or my old ID to you guys?
If the ID with the current name is not enough to identify you on our records then you have to provide your previous ID with your previous name as shown in our records?