OK, so the weather was too dang hot for staining, so I didn't get it done until today, but I think it looks good. I rubbed on 4 more coats this afternoon, so that's 6 total. It got a LOT darker with the additional coats, and it's much shinier. It looks so much better. So thanks for pushing me to do more coats. Still need to put the new handles on, plus I'm mounting a towel rack on the side. Just have to wait for it to dry. I was going to top off the stain with spar urethane, but then I took a closer look at the stain I got, and it's a weatherproofing stain that's already got the urethane built in. So that saves me a step.
The inside is the original color. Not bad, but it wouldn't look right in the room.