What can happen to an improperly stored motor starter like that is that the pole faces of the electromagnet inside of it can get rusty. That will make it hum and maybe chatter, which can lead to early failure.
But with any used motor starter, you have no idea of HOW it was used, or more importantly, ABused. For all you know, the contacts might be burned already, or so badly damaged they will fail in short order. If you have to ask all of these questions, I'd venture to say you don't have a lot of experience with motor controls, so having you disassemble and inspect the contacts might be pointless. My advice would be to do it right, and do it once, by using a properly sized new starter this time. Trying to save money using used parts is something more experienced electricians gan get away with, but is not something I suggest for beginners. There is nothing more expensive than a part that has to be installed twice.
By the way, that heater element is for 49.1 to 61.2A FLC in a Size 3 starter (which I assume is what you have). It's a little shy of your motor FLC if it is 63A. Not inherently dangerous, but you will not be able to get full capacity from your motor without risking tripping it. The next size up is a CC103.0, which covers 61.3 - 77A. I would use that one if you are going to take a chance with that used starter.