Actually, your first stop on each day you start to backpack, you will be going first to the wilderness office to pick up the actual permit. For Sunrise you will want to try to reserve a permit; it's one of the more popular starting points. In fact, you'll also want to reserve Glacier Point as it gets filled with frustrated folks who didn't get Happy Isles. The page on the Yosemite website about wilderness permits will have instructions on when and how to do this. If you have a reserved permit you can pick it up anywhere permits are available - at the western entrance to the park, at the wilderness office in the valley, at the wawona wilderness office. If you are trying to walk in, you MUST be in the main Yosemite valley office to get a Glacier Point permit, and you MUST go all the way to Tuolumne Meadows for a permit for Sunrise. Very early in the morning, to get in line. I say "must" because priority is given to people in line at the office which is given priority over the region it's in. Popular trailheads go first. Any trailhead for any trail pointed in the direction of Half Dome, within a day or two radius, will be in demand. Coming such a long distance, you'll be wanting to have the certainty of a reservation. And, the walk in permits for a given date are made availabe at 11 am on the day BEFORE - so for a hike you want to start on June 20, you want to get there and be in line on June 19. Starting on the wrong day ie the day before, invalidates your permit. This is one thing that the park is a stickler for, and people are so determined to go sometimes they'll risk the fine and being walked back out of the wilderness by going without a permit....
If this is a good snow year, which hopefully will be so, June will be the height of the mosquito season. August would be a better bet if you wish to avoid mossies entirely. Or, a headnet, DEET and a shelter with bug netting plus the acceptance that you'll just get bit some of the time. There are some reasons for going early - the waterfalls typically are at peak flow in May and June.
I am not sure what the last date "Tuolumne Meadows: sequoia" means. There are no sequoias in that area. You may mean the Tuolumne Grove, near Crane Flat on the way out of the park.
Don't forget you will need to get all your food in bear canisters. Here is a primer on what's necessary.
http://www.sierrawild.gov/bears/how-pack-bear-canA good resource for recipes that go in ziploc bags: trailcooking.com
For mail order bear cans you can get in advance and practice packing: wild-ideas.net (also the lightest can for the volume, and the largest model is the largest available canister approved by the park)
For trips of the durations you list I would be using my smallest can, the Bare Boxer, but i have lots of practice packing it.
I'm curious why you wouldn't plan a single trip from Glacier Point, to LYV, day hike Half Dome, camp at Sunrise Creek and day hike Clouds Rest, camp at Cathedral or Sunrise Lakes, and hike out to Tuolumne Meadows. You can then catch the YARTS back to the Yosemite Valley floor at Curry and then walk to your car. Or, you can take YARTS or the hiker bus up to Tuolumne and start there - take the Tuolumne Meadows free shuttle to the trailhead of choice and hike the other direction back to the car. That would start at higher elevation, but involve a lot less climbing up steeply with a backpack.