With a budget of $1,000 it shouldn't be very hard to find a good quality AR.
If it were me, I'd go with either RRA or Bushmaster.
The RRA is the big craze these days. The best feature of their rifles is the 2-stage trigger they have. It is significantly better than a stock AR trigger. They have good fit and finish. Very clean, very smooth.
The advantage of the Bushmaster is that their barrels are 4150 steel and chrome lined. I believe chrome lining is now an option on RRA rifles, but it is standard for Bushmaster.
There's also the build-it-yourself option. For that, I'd absolutely go with CMMG. They have a super-light barrel with med-length gas in 1/7 twist with M4 feedramps that is THE ticket in my opinion. All the ideal features put together. It is 14.5" with a perm attached phantom. While not a fan of perm attached flash hiders, the phantom is my favorite, and the 14.5 with FH is the shortest possible barrel you can get without requiring govt approval. That barrel has me itching badly to build another AR. Light, short, can shoot heavy bullets, chrome lined, M4 ramps, top notch FH...and a less abusive gas system. Ideal. Simply ideal.