That WAS a Free Wheel.
The pawls WERE located in the indents in picture 1.
At this point, grab a pipe wrench and spin the rest of the Free Wheel off of the hub.
Replace with another 5 speed FW if you have index shifting.
IF you have friction shifting, you could probably install a 6 speed.
Bet you don't know how many ball bearings you lost.
Falcon is bottom of the heap quality wise
