I agree with the tire/wheel prediction. Does the car pull harder to one side when the brake is pressed? I have had a tire with a broken belt react this way.
I assume that you picked up the car by the subframe which is just behind the oil sump. If you were to pick it up by any of the steering linkage you could do damage.
'84 Euro 240D, 523K miles
'88 300E 5 Speed
'81 300D Daughter's Car
Over 800,000 miles in