If I were a betting man, and without rehashing the self-defense argument again: I think the next update will pick up right where we left off, in the alley. There, either MC calls Agent Fox immediately, or she appears without warning (full disclosure, I trust Feds like gas station sushi) to clean up the mess. If MC goes to Hillside PD, he's a dead man, reasonably speaking regardless of justification.
As for Carter, the "stalker" seems to be a ruse he uses to control people. Original Emma had a "stalker", prompting her to hire the MC, so the new Emma had a "stalker", and so it goes.