As regards a captain rejecting an aircraft, if he is unhappy with something in the 703/704, then he could refuse to fly, at least until he had been satisfied that the entry was appropriate.
I've only seen one instance when a jet came to my unit from elsewhere, where the pilot should have rejected the aircraft because of a poorly judged 703 entry, but it turned out ok - we fixed the problem. I've heard of and seen others though, where the entry was rejected on consideration of the captain. Then the maintenance entry raised is to clear that lim / adf.
It shouldn't happen though if the groundcrew and aircrew are working together and talking about problems.
sw