Lots of good questions here. I don't presently have chickens (at the moment, I'm living in a condo in FL but we're working on changing that situation, hopefully in the next 3-6 months) so I'm once again in my own research phase. I can't say that I know a lot about mobile coops. (I'm still learning there, as that's what we plan in the future.) In the past all my chickens were free range, but here are some of my thoughts and hopefully other folks have more knowledge on this aspect.
My first concern would be the fact that your proposed coop is bottomless. Unless your ground is perfectly flat, that's like sending an invitation to predators anywhere there's a dip or hollow. or root. You'd be amazed how small a space weasels can slip through, and those vicious little buggers will kill chickens not just for food, but for fun (possibly taking out several chickens in one visit).
And even with flat ground, many of the things that like to eat chickens can dig.
I'm not sure I understand your electric paddock, but my feeling would be that it would be wiser to have a chicken run with both roof and floor sealed. (I'd use the 1/4" square chicken wire - the hex stuff is pretty useless for keeping out predators.) If you still want to electrify it, you'd need to insulate the floor from the rest of the paddock. Poop can still fall through and the chickens can still get at the grass.
Yes, raccoons can and will jump out of trees. And while a forested area will create some cover from hawks, remember that hawks roost in trees, and have no problem if you provide them with a nice caged meal. Owls too if you don't make sure the coop is closed at night.
I'd definitely set the coop-proper with a door timer set to open at sunrise and close just after sunset, if you don't want to go out every day/night to open/close it.
Regarding deer, yes, they will jump into/run into things. One thing you might do is tie ribbons onto the outside of the wire, which will blow in the wind and make it more visible to the deer. (I'm not sure what spectrum of color they see in, but you may want to research that.) Another idea would be to put in a bamboo deer scare (shishi odoshi) near the area of the creek by your chickens. (They'll probably tend to drink upstream/downstream a bit and be less likely to cause trouble for you.
On your number of chickens, I'd probably add a couple more to account for hens that aren't laying at the moment -- not every hen lays an egg every single day -- or have gone broody. (And if you want sustainable chickens, you do want a couple batches of chicks every year.)
Bonus tip

This comes from a professional chicken farmer I knew. DO NOT refrigerate your eggs. They'll actually last longer if they never see the inside of a fridge. He'd bring me 2 flats every few weeks. I kept them on the counter and made sure I used the oldest first. Never once had a problem with them going bad. The moment you put them in the fridge you will about halve their shelf life.