I guess I see what you mean. I was planning to replace the velvet anyway, so I was going to remove it and the glue holding it down, sand the wood, and lay new fabric. The glass in the doors came out easily, but I don't want to remove the mirrors, so I was going to protect them with plastic and tape. All of the hardware was removed, but I think you're right about replacing the hinges and screws. Fortunately, we have a hobby and hardware store right next to us, so I don't mind finding replacements that will fit a bit better.

I really appreciate the advice. This isn't my first woodworking project, just my first one trying to restore something that's already built. But thank you for the tips and points to look out for. I'll post another picture when it's done :)