I am new to this account as I lost my login to both my old account and its email. I am trying to get back to the level I was before, and get back to my old privileges, but I need questions or to give answers, both of which are slow right now. Are there any ways I can get rep from doing things other than asking and answering questions?
There is a help page for this.
The literal answer to your question is suggested edits (which give +2 reputation if accepted). But it may well be easier to ask questions.