Looks good to me.
Windings #1-#2 + #3-#4 are the Split Coil Main (Run) Windings.
The Winding at Terminal #8 is the Auxiliary (Start) Winding, which is in Series with the Start Capacitor and the Start Switch. Start Switch Terminal is #5
Appears to be a Dual Voltage ("Low Volts" = 120V, "High Volts" = 240V) 1 Phase Capacitor Start Induction Motor, setup for "High Volts" (240V) Input.
The Auxiliary "Start" Circuit (Winding, Capacitor & Start Switch) connects to the "Center Tap" point of the Main "Run" Windings. This results in 1/2 the Motor Terminal Voltage across the Start Circuit - or 120V.
Look sort of familiar??? Works the same as the 120/240V 1 Phase 3 Wire Transformer feeding it!
With the Start Circuit connected via the Center Tap, the Capacitor may be rated for 120V, even though the Run Windings may be connected across 120V or 240V.
As to the Connections Scheme, the "Key" to proper connections (per "Forward" and "Reverse"), is to "Make" the Start Winding reduce the Mag. Field Strength on One "Side" of the Run Winding.
This is what determines the Startup Rotation.
Using Greg's Schematic example above, Connecting the Start Circuit Terminal #5 to "L2" will start the Rotor in the Counter-Clockwise Direction (normal "Forward" direction).
The Start Winding reduces the Field on the "Lower" Winding Section (#3-#4), causing the Rotor to "Fall" in that direction.
Connecting the Start Circuit Terminal #8 to "L2" will start the rotor in the Clockwise Direction ("Reverse" direction).
The Start Winding reduces the Field on the "Upper" Winding section (#1-#2), causing the Rotor to seek that direction.
BTW, if this Motor is a PSC (Permanent Split Capacitor) type, no Centrifugal Start Switch will be included in the Auxiliary Circuit, and the Auxiliary Circuit is always connected to the AC Input during Motor Operation.