Hi Lindsey,
Welcome to the forum... you want to make it lighter... sounds good to me. Start with stick built walls...
This 4x10' wall, for example, weighs 36 pounds as seen in the photo...
A battery weighs a lot. You could shave off roughly 50 pounds removing a battery. You could use closet lights with AA batteries in them instead. Although I would probably just use one of those ultra small, trolling batteries.
Don't store water in your tear. Bring a blue poly bottle, and fill it up at the campground.
Don't use any solid plywood in your build. Use pine sticks with 1/8" plywood skins.
Stick with the smaller wheels, ie. 12". Hopefully the spare from your car matches the hub bolt pattern.
Eliminate any thoughts of a tongue chest ... Although I think it's one of the best storage additions one can have on a teardrop, if you are cutting it that close, it has to go...
Eliminate the cabinets above the head of the bed. It doesn't give you much storage, and it adds tongue weight and total weight. If you really think you need something up there, put in a small pine shelf, with a rail.
Aluminum is heavy... but since you are building a woodie, that's not an issue. Keep your protective covering thin so you don't add too much weight.
Consider bringing your axle a little farther forward. Although it won't help much with the total weight, it will help with the tongue weight. Your car will probably appreciate that.
And last but not least, I'm not sure where you got the weight figure from... I built a Benroy that is very similar in size and construction to the cubby you want to build. The Benroy weighed only 840 pounds.
Mike...
The quality is remembered long after the price is forgotten, so build your teardrop with the best materials...