OK are you planning on doing a lot of BH or FEL work or just once in a while?
The BX series is a serious little tractor, and you will be impressed with it AS LONG AS YOU REMEMBER, it is a little tractor. You mention cutting and hauling wood, how big yeah you need some kind of a lift for long stubs, but it will pull them or use a small trailer like I do with this machine you can pick and choose your way through the brush.
Now a skid plate aint no big thang at all, there are commercial units you can buy, and there are several builds in here on skid plates, my self I used a (coffcoff )old street sign I found laying along the road some place and made the bends using a piece of angle iron a couple of C clamps and the edge of the work bench,, it aint pretty but it do work!
Mowing well I do about 5 here as well, and it mostly all hill, and when I started there was a ton of wild grapes, blackberries and wild roses, it preformed admirably! The BX is a very nimble LITTLE tractor with power to spare you will run out of traction long before you run out of power
Fuel wise it sips diesel, and don't suck gas, I had one of them never again!! For what you have described I don't think you would go wrong,, this is just MHO you understand I have one and love the thing