[Cleanup phase & Resolving Crisis effect]

So step 1 only refer to the framed text, therefore priority as no effect.
would you care to elaborate the difference of step 2 and 3?

 

[Cleanup phase & Resolving Crisis effect]

The clean up phase in step 1. Players score victory points (VPs) from Crisis cards. Mark these points on the Mission Tracker.

How do you choose which crisis to resolve first? I have an instance for example where. Gamma wave would give 1 damage to a player holding a hammer (or any token really).

I can see a player with Priority wanting to resolve Gamma first before resolving hammer or vice versa.

Thank you for the clarification