Sayre

I believe that with a +3 weapon and 1 rank in a weapon skill would make your normal hits do 5 damage. 1 damage by default, +4.

Correct. For example, I have katana rank 3, and I have a +3 damage weapon. On a normal hit, I would do 1 base +3 weapon enhancement +3 skill.

Note that Accuracy cannot boost you into getting a crit, so if you roll an 8, but have +1 accuracy, it's still only a normal hit.

I got such a split of answers, although it looks like I was correct in thinking 5. Awesome guys, thanks!