Re: will a 2004 chevy impla tow a 1500# trailer
Don't be scared by the "you're going to rip the hitch off the car" comments. The only way you're going to pull the hitch through the sheet metal is if you install it without the load spreader blocks. The Impala hitch uses 6 attachment bolts, and each is supposed to have a 1/4 inch thick 1 x 3 inch load spreader block between the bolt head and the sheet metal. To rip the hitch off, you need to pull 18 square inches of load spreaders through the sheet metal. The force required to do that will break something else first.
I've tested this on a compact unibody car (a Saturn S-series). I've pulled a 1600 lb boat several thousand km. I've pulled the 2400 lb car out of a snowbank by the hitch (class I, max towing capacity 2000 lb) without damage. I also absent-mindedly pulled my empty boat trailer over a street sign. This wasn't one of those breakaway signs either - I hit it at about 25 - 30 km/h and within a few feet I was at less than walking speed with the trailer on it's side. It bent the sign over, mangled the trailer coupler and bent the receiver, but did not even begin to tear the sheet metal where it was bolted to the car.
As for towing safely and keeping the car from breaking down, the usual advice for towing heavy loads applies. Use top quality (preferably full synthetic) oil and transmission fluid and change at the recommended severe service intervals. Keep the cooling system well maintained. If you have an automatic transmission, install an extra transmission cooler and downshift manually if it can't decide what gear it wants to be in. As for brakes, 1500 lbs is less than 50% of the weight of the car, so trailer brakes aren't essential, but they're still a good idea.