I would work on the amount of clothes you carry. It looks like in addition to the clothes you are wearing you take a short sleeve shirt, a silk baselayer shirt, sleep clothes, and a thermal pullover. I would just take the thermal pullover and sleep/clothes clothes and that is it. I would drop the other two shirts, as they are redundant.
Depending on the temps, it might be too hot for Gore Tex Pants. I prefer a rain skirt when it is really hot, as rain pants are like a sauna. If it turns out cooler they can be nice to have in camp though so it might be more of a trip time/personal call.
I suggest you drop the Tevas and just wear your trail runners around camp. I thought I would really miss “camp shoes” when I first got rid of them a few years ago, but I never have. That is over a quarter pound of un needed weight.
You might look at changing from the Steripen to Aquamira. It would save a few ounces and most of the water sources on the AT are nice piped springs so they are easy to use with chemicals. Ryan Jordan has a PHD in bio-film engineering and is an expert in backcountry water treatment and he uses Aquamira. I figure if he trusts it, I should feel fine about it too. It is also what 90% of AT Thru Hikers use.
You could probably drop some weight on your kitchen. You are carrying a bowl, cup, and a cook pot? I use my cook pot for all three so you should be able to get rid of most of the other two.
Drop the case on the gigapower. I hiked for over 1000 miles with mine without a case and it looks brand new. The case is needless weight.
I would get rid of the placemat. I have never found that I needed one.
You might look at a pack liner instead of the pack cover. You wont save a lot of weight, but they work a lot better.
What are you carrying pepper spray for?
That seems very heavy for a repair kit. It might help to break that down by item and list quantities and weights for everything.
I would drop the collapsible bucket; you already have plenty of water storage. It might seem like a convenience, but it is a quarter of a pound!
I would probably go to a smaller, lighter knife. Gerber, Spyderco, and Swiss Army all make nice 0.6oz knifes.
I would get rid of the spot. You are on the AT not in the remote wilderness. The AT well marked, and very well traveled, so this is un needed weight.
Unless you are doing a section that is in the open (Roan Highlands, Grayson Highlands, etc) you don’t need sunscreen. The sun doesn’t reach the trail in the summer!
I suggest dropping the pillow and using your sleeping bag stuff sack filled with your raingear and other clothing. I generally put my raingear on bottom and my insulation layers on top. Try it, it makes a great pillow!