Correct, it's a bench press with either a very slight incline or every slight decline... as little as elevating one of the end of the bench with a 25lbs plate.
I wouldn't do pull-ups and chins/rows between every set. Even though they are antagonist patterns to the main lift it still creates fatigue and the pump could hinder the performance of the main lift. Do not forget that the goal is maximum performance in the main lift, anything that detracts from that should be avoided. You can do "in-between" backs sets, but not after every set.