Bula!:We only did one short pool session, and then four open water dives, although we only did skills in the first two,
One short pool session and no skills on dives 3 and 4 does not meet PADI standards for the Open Water Diver course. Perhaps your instructor certified you as a Scuba Diver, which is a lower level certification that qualifies you only to dive with a professional, and covers roughly half of the Open Water course. Check your certification card.
Also look near the end of chapters 3 and 5 in your PADI manual. You should find a list of the skills to be performed on each open water dive. If you didnt have to demonstrate all of them in open water, consider an upgrade course, or a complete new course.