Seems to me, with my limited knowledge of the aircraft, that the first order of the day after touchdown should have been to get the weight on the gear. The bank angle caused by the crosswind should have been a pretty obvious signal that they were not on the ground solidly.
Isn't their a spoiler or speed brake handle/switch that can be manually activated to at least bring up some of the spoilers?
Then worry about engaging reverse. The PF seems to have rushed the landing process.
I've only flown one type of AC with spoilers, but they made a huge difference in crosswind landing performance. Of course, I could see them deploy in the cockpit mirrors on that aircraft. PF in this instance had to check an indicator to verify spoiler deployment.