I actually got the same car about 6 months ago, with about 47k. Mine is not a daily driver, BUT I do drive it a LOT more than my older 2002 TT it replaced.
Check the stereo, the amplifier in the trunk for the bose system tends to blow due to corrosion build up due to moisture. If not under warranty, you are looking at a 800-1000 dollar repair.
Mine had to be replaced as it was draining the battery every day.
Also, check to see if it has run flats. I forgot it didn't have a spare and mine didn't have run flats on the stock 18's, the fix a flat crap does nothing for a blown side wall.