Sorry if these have been answered already, but after five solo plays, I'm trying to figure out if I'm playing this right:
1)If the 1st eligible non-player is not leftmost, then the 2nd eligible non-player plays the event, correct?
Yes (unless there is a little "2" symbol).
2)The non-player Cartels last bullet under RALLY is the space that gets to cultivate a base, correct?
Usually, but if Rally spaces from earlier bullets also would be eligible to Cultivate a Base, you would randomly select which gets the Base.
3)If guerillas are removed to place a base, the removed pieces can immediately be placed elsewhere, correct?
4)Do Guerillas need to be present in a BRIBE space, or are bases OK?
Referring here to NP Cartels priorities, "pieces" is the requirement, so Bases qualify. (Bribe by player Cartels does not require any pieces in the space except the pieces to be affected.)