This is a self-exited vibration problem.
Wheel bearings are the most common for causing a vibration.
Front wheel shimmy in a vehicle can be caused by issues such as unbalanced tires, worn suspension components, or misaligned wheels. To resolve it, you can start by checking and balancing the tires, inspecting and replacing any worn suspension parts, and getting a wheel alignment done by a professional mechanic.
Front rotors could be warped. Replace
Your automobile may have a tire out of balance or a worn part in the front end causing this "shimmy" effect .
Your automobile may have a tire out of balance or a worn part in the front end causing this "shimmy" effect .
Tire out of balance, bent wheel, loose wheel bearing, defective tire, loose wheel lug nuts, & worn steering or suspension parts.
Tire(s) out of balance/old, bent wheel, etc.
Alignment
Or wheel and tyre.
More likely than not you have a tire out of balance or a bent wheel. Have your tires inspected and balanced.
Tires/wheels out of balance?
The steering wheel shimmering could be warped front rotors, when slowing down. The stalling when slowing down could be a bad fuel filter.