what's a gsid?I don't know what you're trying to ask for, but hopefully this will answer it.
Restarting a game will lock you out from your current PGL account and you'll need to make a new one. You'll still be able to access it but it will no longer be linked to a game so will be essentially useless.
Online tournaments you've registered for are part of PGL, so you'll be locked out of them too. Once you get a new GSID you can reregister though.
Official tournaments like the VGC shouldn't mind if you've restarted your White or not, so long as it's not got any hacks on it.