I would keep the snare with the kit. Even though it doesn't match, it's what your father had with it. If you are going to refinish it I personally would go for a nice black paint job.Another important question I have, and maybe I’m getting ahead of myself here: The snare is a Leedy. Do I seek out a period correct Slingerland snare, or restore the Leedy?
Important question #2: is the tom definitely a Slingy? It has no badge, but the hardware matches the bass drum.
Important question #3: I feel like something is missing. Possibly a bass drum mounted tom, and perhaps a large ride cymbal? I have a truckload of questions.
Important question #4: I’m missing a kick pedal for the bass drum. How hard will it be to find a period correct one?
Important question #5: I hate the color. It’s this battleship gray that looks like someone painted it on with a brush. That’s definitely got to go, so I will need to find out if period-correct wraps are available, and if there will be prep work involved, etc.