Rabbits eat one soft pellet every 12 hours. It's very long and sticky. The rabbit knows it's going to have this stool and prepares for it. Living on wire won't ruin that for him.
I would suggest picking up a tile from Home Depot or Lowes for a dollar to give him something to relax on off the wire. But, as the general rule, smaller breeds are fine on wire.
He is 100% not a JW or JW cross. Wool is a recessive gene in rabbits. For them to have wool you would know it. They would have a long cottony coat and be a gigantic fluffball (on a dwarf wool breed about 2-3 inches long).
Any cross with JW and they have normal fur. His fur looks a little longer, my guess would be some sort of average bunny mix with a rollback coat.
Alfalfa, like someone said, is much too high in calcium for a rabbit. In fact rabbit urine is very high in calcium and extra alfalfa can make it even harsher. It will coat the wire floor and need a metal grill bristle brush cleaning frequently. Timothy hay can be fed at any age in unlimited quantity, along with 1oz of pellets per body weight. I do free feed mine for show, as I feel if they're going to go over weight, it won't matter if I restrict feed or not. However, for those at home raising one or two bunnies, and wanting to measure the 1oz per pound is the general rule.
And yes, many rabbits are inbred. However, that isn't a bad thing. Most of the top breeders of rabbits in the country haven't added many "non-related" rabbits to their herd.
Teeth problems - A.K.A Maloclussion, Wolfteeth, Buck Teeth, etc; are genetic as someone else posted. You will not have to watch teeth if they do not have this condition. The top incisors should overlap the bottom. That alignment will cause them to rub together, wear down, and stay nice and sharp. The they butt, are do not overlap properly you have Maloclussion, and you will need to watch your rabbit and take it to the vet for regular (once every 2-3 month) teeth trimming. DO NOT ATTEMPT AT HOME without first being taught MANY MANY MANY times by your vet. The worst thing in the world is shattering one of those teeth and hearing your rabbit scream for days. And I do mean scream.