You don't want few $ to get trouble with USCIS.

1) 你的該身份隨著工作的失去而喪失. You should leave State or change to other status. You don't want USIC take a chance. Right ?
2) 不管你是主申請人，還是副申請人，公眾負擔是一樣的。You still want GC, right ?
For UI, I know someone can get it after back to own country, like Canada.