Still a beginner, so I'm also a little hazy on the rules for some of the other hand-specific jokers. Does a straight flush count as a straight and a flush when it comes to triggering jokers? Does a full house trigger pair and three-of-a-kind jokers?
The jokers are very specifically worded for things like this. Usually they will say they give a bonus if a hand contains a certain (scoring) pattern. A straight flush contains both a straight and a flush, so jokers specifying one such contain trigger will proc. Similarly a full house contains a pair, two pair, and three of a kind too.
Rarely, jokers will specify you must play a hand instead, which means it must exactly match what is listed as the scoring pattern (except I think royal flush is still a straight flush), similar to planet upgrades. To do list is one example, because otherwise something like a three of a kind roll would be strictly worse than a pair.
Two pair seems to require two different pairs in a scoring hand to proc, meaning it doesn't count four or five of a kind hands. Some people disagree with this ruling.