RE: Choke tube v.s. Shot Size?
No, the 4's want cause any problems and may pattern well. I have a .660 choke on a 3" 870 that shoots a 1 3/4 oz. win.supreme hv #4's and averages 7 hits in the vitals at 40 yds. But it shoots a 2 oz.#5's load of federals a bit better, averaging about 12 hits. Try 3 -4 different makes, loads and shot sizes and see what the choke likes best.
Geaux get'em !!