Budget is $12,0005 acre Land is cleared, Clay soil, densely rooted.Beginner Farmer, need adviseDependable machine, yet gas saver.
Bobcat makes an excellent mini tractor with the attachments that you will need. It can have a loader, back hoe, and has a P.T.O. for other attachments as well.
Five acres doesn't warrant a full grown Diesel tractor. Take a look at some of the compact tractors like Kubota or Yanmar. You can probably find a good used or reconditioned one with loader and backhoe in your price range.
Your budget is on the low side for anything but a used machine of dubious quality. I don't think on 5 acres you're going to do enough digging to justify owning a backhoe. I'd suggest spending $10,000 on a good used diesel tractor with a front loader and a 3 point hitch in back (you'll use that for operating mowers, rototillers, or numerous other kinds of equipment on the farm), and spend the other $2,000 paying another farmer in the neighborhood that has a backhoe to come do your digging for you as needed.
