If you have one, try an inflatable pad... a good thick one not a normal backpacker's self-inflating one. That helped me a lot with the knees and makes getting and keeping something stuffed under them for greater comfort an easier proposition. For a long time I packed around an Exped down stuffed pad but I have now switched to under-quilts. The Exped was just so heavy and bulky but it did work pretty well. Then something ripped and feathers shot out the valve and that was that. To sleep well you must be warm first and that gets spendy, but no matter how good it is, if you are getting cold it will amplify any small discomfort and make it amazingly difficult to get back to sleep.
I also take along a little "Simply Sleep" on my trips as it tends to make me less apt to wake to the sounds or small discomforts and makes it easier to 'shut my head off' and get to sleep. I'm normally a light sleeper and my brain does not ignore things that are out of the ordinary for me to hear at night.
Funny thing for me has always been that if I attempt to keep my eyes open in it during a breezy afternoon, it's impossible. I'm out almost every time. I don't know how many times I have had to adjust plans for the day because my quick 30 minute break in the hammock turned to a 4hr snooze fest. Then I get in at night and the mindset is different and it becomes a much bigger chore to fall asleep.
My $.02. Get it setup with warmth so you are not waking up cold. Then, move out of the yard and go somewhere that is enough of a drive that you won't grab a pillow and head back to bed and go do a night or two there. Hike, work a bit at camp stuff and then see how you sleep overnight and if you can fall back asleep by just shifting around a bit to relieve pressure points. Like I said, sleeping can have a lot to do with mindset. I can't sleep all night in my front yard because my bed is nice and comfy and it's 20 steps away. At a lake cabin I strung my hammock up outside and slept great out there because the cabin was hot and stuffy at night and the mattress was not that comfortable.