...he lets them graze to the point that his pasture is stripped. His next-door neighbors says by doing this it causes them to develop worms. Is this true?
I'm a new sheep owner, so others here are better qualified to answer your questions, but I'll take a shot on the ones I do know (or at least have an opinion/guess on)...
From what I have read that you have written, and a 10-minute additional internet study brings me to the point of a few questions.
*~7 months old and well before the lambs develop adult teeth is the best time to slaughter/butcher?
I think slaughter time it may be a case of personal preference and economics. If you keep a meat animal too far beyond the point where it stops getting meatier, you lose money because of feed and other expenses. Also, some (like poultry, bull calves) will toughen up. Some will develop flavors you may or may not enjoy. Plus, a larger animal is or can be (from my general experience) more dangerous to keep and also harder to process because of the weight, thickness of bones, etc.
I processed my ram because I just couldn't handle him any more, plus it didn't make sense for us to provide him with what he really needed; a wethered (neutered) buddy and his own separate premises & yard. IMO, he tastes great and while toothsome, isn't tough at all.
*Is ramling meat just as good as eweling meat?
I don't know. I'd probably sell a surplus eweling before I'd process her, esp since dairy stock is hard to find around here.
*What is the treatment for worms?
Fenbendazole and/or Ivermectin (that I know of). Joel Salatin uses Shaklee's Basic H. When I got the sheep, the seller said she was worried about the Ramling. She'd tried Ivermectin and would go with Fenben if he didn't start gaining weight. I believe the two dewormers work on different life stages (live worms vs eggs), but do your own research. I just gave them and everyone else in the barn, water with ~a tsp of Basic H3 per 7 gallon bucket for three days. The difference between Basic H & H2 is that the H2 is concentrated a bit whereas the old Basic H is already diluted. (I had to look pretty hard for that info.) People apparently also add it to their coffee in minute amounts as a wetting agent to get more flavor from the grounds. It won't hurt and may help. At any rate, Rambo started gaining weight right away and was very healthy at the time of his demise.
*Is the wool off of the 7 months old ones plentiful and easily sold to people wanting raw wool?
It's my understanding that many sheep owners end up with copious bags of fleece tucked into corners of their barns and no takers. If you want to sell fleece, do some research as to what kind of wool is desirable to hand crafters. If I hadn't wanted dairy production, I'd have gone for "hair sheep," because they shed every year. The meat is supposed to be better as well. You'll still need to trim hooves, but not needing to shear is a big deal, esp for a very small flock and/or a locale where sheep-keeping is rare, where you might not be able to get shearers to come out. I'll be shearing my girls myself.
*and is a seven-wire alternating ground wire, hot wire system effective when it comes to keeping coyotes out or should the wires be on the outside of the pen to zap the coyotes when they approach the enclosure. (Wires on the inside to keep goats in).
We have a self-installed 4' high field fence around our perimeter and haven't seen any coyotes on the property since we put it up. I'm told coyotes can jump that, but we've been fortunate in that ours apparently prefer not to. Deer & elk make free of it though, and last night elk actually knocked down a large, stout wooden post that's been standing for at least as long as we've had the place. With the ground frozen solid, I'm not quite sure what we'll do to mitigate that before spring comes. We had maybe a hundred through here in the last couple of nights, eating down what little grass was left and leaving lots of fertilizer in its place.
I think your fencing plan sounds amazing, though. Our place is too bumpy for that to work very well. Plus grass & weeds grow up into the perimeter and would short out wires closer to the ground. I'd have to keep it clear with a trimmer because it's too rocky and irregular for any other means. Some ranchers around here top off a plain barbed wire fence with one hot wire, but regulations vary as to what you can do.
For me, just the field fence keeps my two ladies plus the eweling in, no problems, and everyone sleeps secure in the barn. The worst we get are owls, raptors, a weasel 😨 (caught in a live trap INSIDE the chicken yard. 🤷♀️ That was one WICKED looking critter!) and a never-ending supply of skunks. Plus the odd bobcat or mountain lion on rare occasions.