Thank you for deciding to try to stick to one thread for your questions. It will make it a lot easier for everyone, especially you, if the information was contained in one space instead of spread around in the other 18-34 threads.
As for your current dilemma, you already have it chase the player, why not take that opportunity to make it shoot its weapon as well? Your AI already knows where the player is, just feed that information to the shooting routines.
If you don’t have any shooting routines, might I recommend looking over this tutorial right here. Scroll down to around this section:
*Now open event graph and add new variables:
isCheckingHit (bool, false),
isAttackingPlayer (bool, false),
That should push you in the right direction. Just remember that you are jumping into a tutorial that is already in-progress, so you may need to go back a few steps (to the beginning) and catch up.