too late now. You must put yourself down BEFORE you lend them money. Or go with them to the DMV and have them allow you to be put on after the fact. You cant do it without their permission.
Yes, but only by a court order. You have to be notified of any court proceeding in which the plaintiff is seeking to place a lien on any property held by you, the debtor.
If you are the rightful owner of the car, you could file for lost title. Otherwise, I'm not sure it would be legal. If you default on your loan, without a title the lien holder would have a difficult...