For point number one, it should be known that Chelshia's AP is actually greater than that if she was to use full strength, as that feat is performed with her most casual attack ever, which is a simple half assed punch, and her greater attacks, the actually trying pinch and the saucy shot, are both twice and thrice as strong as the weak punch as part of her moveset, and there's the fact that her stronger punch will literally shoot fire as long as she's uninjured, so she could possibly burn the trees. Not only that but she also has her heserk mode, which would I believe triple the amount of damage that she does. She may not be able to casually destroy them, but she's probably gonna put not much effort into it when she could maybe just run through the trees.
Onto point 2 and 3 (and merging a bit more): While he has better range it doesn't mean much when she can still close the distance rather easily while running towards him with her fist out, and though the saucy shot has a charge time it's still not that long at all. It's a couple seconds, and she can still move around and punch and dodge and do literally everything in her arsenal while she does so. It isn't like a Dragon Ball charge up where you gotta stay still (I think). She can still avoid attacks, run up and punch him, literally go into her chest and charge it while in there, or just run up up to him and shoot him point blank.
If he gets up on a building Chelshia can scale other nearby buildings with harpy boost and double jump and reach him on the roof where he gets blasted with a saucy shot of marinara sauce. Also I'd she realizes going into CQC with him is a bad idea, which to be fair she probably would realize that if he's quick to resort to that, she'd think that, hey, range would be a good idea to mess with him. And then she wouldn't allow him much time to actually back up unless he has some skill I don't really know about.
Also if he tries to come in for a good slash she can still just go into chest form to block it or something before coming back and slamming her fist into his face.