Yes with Briggs engines (4 Cycle) you must the carrier or bar blade in place as they are used condensate for light weight flywheels. A sheared flywheel key can cause kick back as well as a fail ACR (automatic compression release) on the camshaft.
To the above clutch it is best to use tool design for the removal and installation as you can re-torque to a known value; otherwise, you are just guessing at the proper torque. But these can be removed using a hammer and punch on the heavy ears.
Mystyler is right that is six steel balls inside these clutches. The square upright section rides on the crankshaft stud. The stud must be burr free and lightly lubed so it will hang and destroy the recoil assembly. If you look at the above image you will see a small hole that oil is forced into soak the fiber pad that rides above the crankshaft stud so it provide oiling over an extended time.
