1.1 mph is not bad at all. Do that for 12 hours a day, and you’ll put in some pretty good miles. Sometimes you can put in 14 or 16 hours. You’re bound to improve if you stick with it and polish your outdoor skills. The trail is challenging you to adapt to its terms.
Just for reference, 12 hours a day at 1.5 miles per hour makes a thru-hike of 120 days, or 4 months. Most thru-hikes take 5.5 to 6 months, don’t they?
I bet when you hit Virginia, you’ll be able to average 2 mph or better… but will you accept or endure the mental fatigue?
If you read James Hare’s “Hiking the Appalachian Trail,” I suspect you’re much better prepared than you give yourself credit for. Great, great books. You can see all the roots of ultralight hiking in there, such as in Owen Allen, Andrew Giger and Ned Smith’s accounts.
My suggestion is to be patient with yourself and draw inspiration from the sunlight showing through the trees and reflecting in the water. Best wishes.
Linguini