deadbolt, handle interlock or chain lock? If its a chain that easy to fix with just a couple screws, unless its the chain that broke in which case you can get a new chain at your local hardware store. Interlocks are a little more tricky, you may need to replace the entire thing if you can't take it apart and figure it out, some of the newer ones don't really come apart and if they break then your SOL. Deadbolts are very easy all you need is a screw driver and a little knowhow. Tape may not hold properly whatever the case and intruders (or unwanted relatives) could get in your pad.
OMG izzat Wolverine? I love him!! and and the lock is the door jam thingy. I couldn't open the door 'cus the screw on the jam thingy got loose and the door hit the top of the screw. I had to push and shove into the door really really hard in order to get it open. ~ I put tape in the metal thingy though the lock won't go through the jam thingy now. So i will wait to put the right bottom screw in, the one that the housing guy put in will just keep unscrewing out and we'll be back at point A again.