Re: Traction Control/Shift times
When you say the tires aren't quit right, how far off are they? Are they all the same size?
Since the traction control system uses the wheel speed sensors, if the diameter of the tire is off enough to suggest one wheel is spinning (moving faster than the others), it will certainly behave as you describe. The difference in size could also be due to substantially different tread depth across tires.
Basically, anything that would cause any one tire to behave substantially differently in rolling and/or grip characteristics can affect the way the traction control system will function.
Apart from the odd behavior, having mismatched (especially different size) tires can put additional wear on the driveline and could cause permanent damage (in theory, at least).
I would definitely swap the tires for matched/correct sizes as soon as is feasible to do so.