Check the tire pressures. They should be about 34-36psi if you are carrying extra people. 32psi may give a slightly softer ride, but a full Model A tends to get wobbly when the pressure is that low. The car will steer easier at 34-36psi and have less tendency to shimmy or pull to one side of the road or the other.
Be sure to check tire pressures after each winter, as you'll lose a few pounds over the winter months. Never fails around here in SE Iowa! I wish
I could lose as many pounds during the winter.
Marshall