I agree with Keith. Re torquing the lug nuts would be the first thing I would do. Torque wrenches aren’t that expensive and it’s worth having one around. I never trust discount stores for tire work and check myself. When each wheel is off the ground, if you know how to check for excessive front end play, do it. Check tire out of round. Some of these don’t appear to be your problem, but check regardless.If all else fails, a trip to an experienced mechanic or the dealer for wheel balancing and checking may be in order. You should be ok with tires within 2/32 inch from front to back. If they are, I would leave the new tires on front and rotate in 5 to 6 k. Get it looked at regardless ASAP. “uncontrollably” does not sound good.