From what you are describing, it sounds like they were poorly installed, and damaged as well. Because each tuner is installed in two pieces, the post/gear and the worm gear assembly, if they are rattling, buzzing, slipping etc. there is a good chance that they are not positioned correctly. If the two parts are not perfectly aligned, they can be loose enough to create this kind of problem. As for the bent keys/worm gears, you want to have that addressed as well. This likely means replacing the key. My D tuner is bent just enough that you can't really see it, but changing strings is a chore because it is extremely stiff.
If you bought the bass from a shop or luthier, that would be the first place I would go to rectify the situation. The bent keys can be swapped out for new ones, and a good show of faith would be for them to do this free of charge if it was indeed purchased that way. As for what might be a poor installation, it might mean removing the worm gear assembly and repositioning it properly if that indeed is the problem. Otherwise, they might be able to do a few adjustments and make it go away.