Disclaimer: I have no connection with any supplier other than being a normal customer. I am, however, a bit of a "gear junkie"...
That said, here's my $.02 worth: Hammock: I love my HHDJ and I also toss & turn a lot. The secret, of course, is to lie a bit diagonally. They also have a rain fly which doubles as a rain cape (multiple use). For cooler weather, you may need an underquilt, but you don't need a pad, so that's a bit of a trade-off.
Tents: Do you use trekking/hiking poles? If so, you might consider a shelter such as the Zpacks Hexamid which sets up with your hiking/trekking pole to save some weight. Depending on your needs, you can get under 20oz in this ballpark. I don't have a TT Moment DW, but I certainly like the looks of it. We have a TT Rainshadow 2 for the wife and I (we're both a bit large-ish + have a pooch, so we like the extra room). Excellent quality. They are a bit pricy, but the quality is worth it (IMHO).
Tarps: Caution here. My impression is that tarps are better used by more experienced backpackers, especially smaller ones. If you really want to go the tarp route, you might check out the MLD Trailstar. I haven't used one myself yet (mine's on order, though), but most of the reviews are pretty positive.
Overall: I recommend picking something you're pretty SURE will meet your needs and plan to revisit the decision in a year or so after some first-hand experience. Whatever you choose, good luck!