I'm very happy to report that this project is finally finished. I'll be leaving the doors open on it for a few days so that it can keep curing/drying out, but it's finished.
I think this is a wonderful piece of furniture. It was free, and I only spent about 25$ to refinish it, and replace the knobs. The knobs that were on it were mismatched and one (possibly both) was not original. I settled for two antique brass knobs from my stock of old hardware.
The cabinet will live in the corner of the dining room, since this seems like the best place in the house for it, but I might change my mind later on, depending what kind of dining room furniture I end up with. I kind of want an antique table, chairs, and either a sideboard or hutch. These can sometimes be had for very cheap at auctions.
You can BARELY even see my two repairs on the drop-down door. They're practically invisible, which makes me very happy.
Compare with the before photos:
BTW: Can you believe my father was just going to put this at the road? It wasn't in great shape, but it's such a wonderful cabinet! I'm so glad he asked me first. I would have been extremely upset with him.