Question 1- Do you mean that it revs to 3k before moving, or that it doesn't shift to 2nd until 3k? If the former-not good, the latter-perfectly normal. As stated above, the DCT is definitely 'different' than a traditional automatic and has to be driven a little bit differently. If it acts up a lot then you may want to see the dealership. It wouldn't hurt to call them and ask if they can check the records to see if TSB 12b37 has already been performed on that vehicle.
Question 2- Definitely due to the 8" wide tires with their low profile. You will also notice that you have to fight the wheel on unevenly worn roads or on roads with noticeable driving wear. If you had the narrower and smaller OEM wheels, this wouldn't be noticeable. I have a couple of stoplights that are quite interesting due to the road ruts in the braking area...
FocusFest 2013: Best of Show
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Hatch Nation #161