I have a 2001 Hyundai accent. My rear would make a (thunk thunk) noise when slightly breakin for a stop. Its more towards the middle of the rear. Any ideas?

rear sway bar link pins and bushings

Take it to a different tire store, and ask them to look for a separated belt or an out-of-round tire. The store that balance your tires should have caught that. A bent wheel is another possibility

Or: On a lift, slowly rotate the tire, standing 6-8 feet behind the car and watch the edges of the tread -- see if they "wobble" from side to side. That's a bad tire.

Or: Rotate tires front to back and see if the problem shows up in the steering wheel.

A slightly better set of instructions might help you. Mine is a 2003 Accent. You have to remove the access panel that covers the lamps and the wiper control. Remove the phillips screws along the bottom of the panel (closest to the floor of the trunk when the lid is closed). Then remove the two screws that hold the brackets onto which the two strings are linked which are used to raise the rear deck slightly when the trunk opens. Next, there is a small cover underneath the rear wiper (about 2 inches square) that you need to carefully pry off using a small flat head screw driver via the indents on the lower side of the plastic cover. Inside you will find a 10mm bolt; use a ratchet to remove the bolt. Next, using a small flat head screw driver, carefully pry the middle section of moulding between the panel you are removing and the molding that covers the top portion of the back glass. There are two clips at the base of each middle moulding piece closest to the panel you are removing. Once those pop free, grab the panel at the bottom and firmly but gently pull away from the car body to pop free the two retaining clips holding the moulding to the car body. Finally, use one hand to grasp the panel from the bottom and the other to help help slide the panel "up" towards the glass (top of the car). The panel's top is flanged, and must slide up and away from the lip on which it sits. With the panel removed, grasp the white socket that holds the bulb and with gentle pressure turn it counter clockwise about 40 degrees and then pull the socket out. The replacement bulb is a type 168. Reverse these instructions to assemble, making sure in the end to push all retaining clips back into place until you hear them "catch" and hold the panel firm;y against the car body so that you do not get vibration noise.

Is the noise under the hood? or where?

If under the hood, most likely the engine has a bad motor mount. The engine will "twist" slightly to one direction when driving forward and "twist" in the opposite direction when you drive in reverse.

When it is twisted (in reverse) an engine pulley or fanbelt is scraping on some plastic part, or whatever, and making the noise.

If not under the hood, it may be one of the front brake pads that have a "worn brake pad" sensor. The sensor is an L-shaped piece of metal that scrapes the rotor when the brake pad backing gets too close to the rotor, hence worn brake pads.

If the noise is somewhere else, maybe another "expert" has a suggestion.

Please post more information... Thank you.

Most likely its in the clutch, could have been a spring in the clutch disc come loose or out, or the throut bearing went bad, whatever it was they will find out when they replace the clutch.

I had a similar problem and had an engine tune up done and the car runs almost like new now. Mine is a 2001 Hyundai Accent too.

there is a 15 amp fuse for the rear wiper under the bonnet check this, also i think the accent has a seperste switch in the dashboard for the rear wiper like th hyundai coupe.

A slightly better set of instructions might help you. Mine is a 2003 Accent. You have to remove the access panel that covers the lamps and the wiper control. Remove the phillips screws along the bottom of the panel (closest to the floor of the trunk when the lid is closed). Then remove the two screws that hold the brackets onto which the two strings are linked which are used to raise the rear deck slightly when the trunk opens. Next, there is a small cover underneath the rear wiper (about 2 inches square) that you need to carefully pry off using a small flat head screw driver via the indents on the lower side of the plastic cover. Inside you will find a 10mm bolt; use a ratchet to remove the bolt. Next, using a small flat head screw driver, carefully pry the middle section of moulding between the panel you are removing and the molding that covers the top portion of the back glass. There are two clips at the base of each middle moulding piece closest to the panel you are removing. Once those pop free, grab the panel at the bottom and firmly but gently pull away from the car body to pop free the two retaining clips holding the moulding to the car body. Finally, use one hand to grasp the panel from the bottom and the other to help help slide the panel "up" towards the glass (top of the car). The panel's top is flanged, and must slide up and away from the lip on which it sits. With the panel removed, grasp the white socket that holds the bulb and with gentle pressure turn it counter clockwise about 40 degrees and then pull the socket out. The replacement bulb is a type 168. Reverse these instructions to assemble, making sure in the end to push all retaining clips back into place until you hear them "catch" and hold the panel firm;y against the car body so that you do not get vibration noise.

Try moving the handle in a different position, or don't put the nozzel all the way in. The vent tube could be clogged.

jack up the rear wheel and spin it, do this with the other wheels chocked for safety, and listen for any rubbing sound, do this with both rear wheels and if one is bad then remove the drum again to check if the retainer has come off of the brake lining, hope this helps you.