Unlikely, but you need to check with the DMV.
Seth Weinstein, Esq.
Southern California Criminal Defense Attorney
This reply should NOT be considered a legal opinion of your case / inquiry. At this time I do not have sufficient factual/legal documentation to give a complete answer to your question and there may be more to the issues you raised then I have set out in my brief reply.
Perhaps. You definitely won't be able to renew your CDL, but the ticket shouldn't affect your car's registration. Give it a shot. You can always do a planned non-operation, and at least get tags so you don't repeatedly get tickets.