Under 3lbs should be a walk in the park.
Just using 'stock' equipment from Warbonnet, which I use as an example only because I'm most familiar with their line:
Warbonnet Traveler 1.1 Single Layer and cord suspension: 12.5oz
Warbonnet 3-season Yeti: 12.5oz
Warbonnet Edge tarp: 10oz
Warbonnet Bugnet: 7.5oz
Given your height, weight, and selected season of use this setup will more than meet your minimums. Again, all stock setup, and the totals are 42.5oz.
And there is still plenty of room to lose an ounce or two with some modifications. But, if you really worked at it and mixed things up from different vendors, I bet you could find a way to drop a full 8oz from my example. Start bringing advanced materials like cuben into the mix and a 2lb setup isn't out of reach.