Chinook in the upper have to be fin clipped, no "wild" retention. Jacks do not count towards your adult limit, typically 5 the regs will read "salmon: limit 6, up to two adults, meaning the other 4 must be jacks. I do believe that you have to stop once you've retained the adult portion on your limit.
For example, right now in the brewster pool, the limit is 8 salmon, only two adult chinook, up to 6 sockeye..( regs say 4, but is now 6 due to emergency rule change.)