re: What paint to use on wood?

I'd just use 2 coats of Killz and see if it needs anything else. I would not use oil based, for starters it'll yellow over time, secondly it'll create a surface that won't take marker well. Same goes for any door, trim, cabinet latex paint. You'd still be able to write on it, but the marker would smear and not dry well.

Go with Killz/ Sand/ Killz and maybe a cheap latex interior semi gloss if you still need a final coat.