You did mention that you went in May, when there probably were a lot of new shore staff just learning the ropes. It's no excuse, but that aspect probably does explain a few of the rough edges. In spite of the best efforts of a training staff, there are always pieces that are not totally clear to the trainees on their first time out. Maybe the lesson here is to avoid the first few cruises of the season at each destination....
The irregular operations due to the ship's delayed arrival also probably did play a role (and probably also explain the make-shift signage and the failure to take everybody in order of arrival).
In any case, I don't see why you think that you are entitled to some sort of reimbursement. Princess apparently did deliver the promised product even though a couple details did not go quite as smoothly as we all might have preferred. My impression is that your expectation of a partial refund probably is way out of line.