Simple Motor driver circuit diagram help
A quick search on the 'net' gives the following

Model: R370

Round type diameter: 24.4 x 30.8 (L)

Voltage (V): 6.0
No load current 0.03 A; speed 4,950 rpm
Max efficiency current 0.19 A; speed 4,280 rpm; torque 19 gcm
Max output current 0.625 A; speed 2,475 rpm; torque 170 gcm
Stall current 1.22 A; torque 140 gcm 

Voltage (V): 31.0
No load current 0.035 A; speed 11,140 rpm
Max efficiency current 0.2 A; speed 9,530 rpm; torque 43 gcm
Max output current 0.63 A; speed 5,570 rpm; torque 149 gcm
Stall current 1.22 A; torque 298 gcm 


This sounds like a possible for your motor...


If the motor you have is about this size (24.4mm Dia x 30.8mm L), then its stall current will be about the same.

And for your FET - a max current around 22A peak around 80A

This FET should easy handle the stall current for your motor.