Tent. http://lightheartgear.com/lighthearttent1.html
I bought one of these in Franklin, NC and used it for the rest of the trail.
It weighs 26 ounces and that is light for a double wall tent! There is an amazing amount of room inside and plenty of headroom...regardless of how tall you are. This is a roomy tent! It sets up fast and packs down small.
Did I mention it weighs about a pound and a half.....These are new tents...she makes them by hand right here in America. You will likely see a lot of these on the trail.
Sleeping Bag. Put your money into a quality 20 degree bag..more or less rating depending on whether or not you sleep warm/cold. You can pick up an inexpensive summer bag on the trail and send the colder bag home until you need it again. Western Mountaineering bags are delicious.
Mat. Inflatable pad or closed cell foam pad ? You will see more Z-Rests on the trail than any other pad. They're light and cheap.
I used a Thermarest and was happy with it. It never got a hole and was comfortable. A nice thing about the Z-Rest is that you can take it off the pack and use it as a seat in a matter of seconds. That's nice when the ground is cold or wet or rocky or hard or has sticks and bugs and.....get the point? I found a cut up Z-Rest in a hiker box and cut that piece down to about 12 inches...I carried it the rest of the trail and must say that having a seat is something that is worth the 2 ounces.