I've got no "name brand" recommondations for you, as I'm in Japan, but I do like the WB poly, but they can leave a bit of a "cool" color. I'd look at something like Shellac, for a first coat, to bring out the warmth of the Red Oak, and then the Poly on top of that.
The advantage of Shellac, is that smell is just alcohol, and Shellac is a totally natural substance, edible, you know that most chocolate is coated with it, so it does not melt in your hands, in fact, most candy and pills are coated with Shellac.
Oh, make sure you get the "Dewaxed" stuff.
Oh, one more thing, make sure you finish both sides of the door at the same time, or at least as soon as you can. Do NOT leave a door with one side painted, and the other side raw wood, over a weekend, a rainy weekend....... and expect to have a door that will EVER close..........DAMHIKT..........
PS.........where are the pics??????
The pessimist complains about the wind; the optimist expects it to change; the realist adjusts the sails.
William Arthur Ward