Remove the inside cover plate on door handle. Most likely it will list the lock manufacture and key number on the lockset. On some of the older TTs the door locks are rekeyable, but I have only seen that on locks that look like your house door handle.
As for the storage compartments, almost every TT has the same key, which is a CH751. Personally I would have them replaced to a more unique key. You can order the compartment key online fairly easily and they are cheap.