I am going to guess that the bridge is not sitting flush with the body, judging by the way the breaks look and by the different lengths of the broken screws. You should check this first, and, if you can, make sure the bridge is not tilted to one side or the other by using calipers. If the joint between the bridge and body is not perfect and flat, the screws will break. In addition, it could affect the sound by not fully transmitting the vibrations of the strings to the body.
One way of doing that is to coat the underside of the bridge with ink, like from a felt tip pen, then screw it down to the body, then remove it. This will show you the contacting surfaces, but, of course, it will stain the area underneath the bridge. There may be other ways of doing this, but you get the idea.
But you should solve the root problem, before going out and getting new screws. I would replace the wood screws with a countersunk threaded in sockets and machine screws