I'm in a similar boat, though I was able to run my team out of the farm getting shelled.
Artillery gets 2 fire missions (the first one counts). I think you're considered 'engaged' at this point because you have two units on cards with enemy VOF markers. Those markers will stay as long as the spotters can see a U.S. unit.
I haven't messed with recording casualties yet. Still learning the game. I think all of the above is correct as I just read through those parts of the rules.
Well, I have one litter team and one casualty. I thought the incoming fire VOF went away at the start of each some phase or other...
Where do I find the rules to handle these spotters? Do they have to draw for a fire mission each turn like I would?