is there a way to assign the ticket to the person that acknowledges the event?
No, generally speaking i tell people not to bother with Acknowledging anymore if they are integrated to Service Now. It already has all the relevant reporting on ticket assignment, timestamps, etc so there's not really much to be gained by trying to also track that stuff in Orion.
No, there isn't one to the best of my knowledge (I am assuming you have integrated SolarWinds with ServiceNow - standard integration)