PUMP WILL NOT START IN SLOW SPEED. WILL START IN HIGH AND THEN RUN IN SLOW. could this be the capacitor?

A Run capacitor has 2 terminals, they go to the Run and Start winding terminals, in this case the Line 2 leg of power is wired to the Run terminal on the run capacitor, that is due to the fact this is a single speed motor and speeds are on the Run winding, had there been 2 speeds, the Line 2 leg of power could not be wired to the Run capacitor but would be going to the High or Low speed terminals, conversely the Run terminal on the compressor can accept only 1 lead.
All electric motors get 1 leg of power directly to the Common lead, the remaining leg of power Always goes to the Run winding or speeds on the run winding if a multispeed motor.
Some compressors have a shared capacitor with 3 terminals, they share the leg of power to their Run windings however to Hermetic it will be say 30 MFD and to Fan it will be say 5 MFD, but as to capacitor theory they get Run and Start Always
Power can be wired to Run on the capacitor as long as the motor is a single speed.
But power ALWAYS goes to Common directly while the remaining leg of power goes to the Run winding or Speeds on the Run winding as in High and Low speeds.