Mike,
First, there is no standard color code for wires in motors. You need to post a photo of the motor showing its hookup diagram. However, assuming (you haven't said what type motor you have other than implying that it was a 1/2 HP) that the motor is for 110 to 120 VAC, single phase, probably the yellow and brown leads go to the run winding and the red and black go to the start winding. The start winding, if this is a capacitor start single phase motor (today the most common type, but not the only type), the run winding will show continuity with an ohmmeter but the start winding will not because there is a capacitor in series with it.
Second, based only on the drawing photo headed "Wiring diagram and switch actions:", this isn't a safe switch to use for a single phase motor as one side of the AC line will always be connected to the motor. Not too bad if that side is the Neutral. But in house wiring and with plug in power cords, you can never be sure which is Neutral and which is Hot. As shown on the "Wiring diagram", this switch was made to run and reverse a 3-phase 3-wire motor (Neutral not used).
However, there appear to be unused connections, at least as shown in the one wiring diagram. So do this. There appear to be a total of 10 places where you can connect a wire. Partially disregard the numbers shown in the casting. Call the five terminals on the left side of the switch 2, 4, 6, 8, 10 from top to bottom as shown in the photos of the switch. Call the 5 terminals on the right 1, 3, 5, 7, 9. Note that this moves 5 up in the diagram in the casting and changes what was 5 to 7. Plus it adds 8, 9 and 10. Take the ohmmeter and check which other terminals 2, 4, 6, 8 and 10 connect to with the switch in FWD and with it in REV. From the photos and the Wiring diagram, part of the chart you need to draw will I think look like this:
With switch in FWD
2 to 1
4 to 10, 3 and 5
6 to 8, 7 and 9
8 to 6, 7 and 9
10 to 4, 3 and 5
With switch in REV
2 to 1
4 to 10, 7 and 9
6 to 8, 3 and 5
8 to 6, 3 and 5
10 to 4, 7 and 9
If all numbers are correct, I think you could make it run your motor temporarily by connecting the Neutral in the line cord to 4 and the brown motor wire to 10. Connect the Hot wire in the line cord to 2 and 6. Connect the yellow motor wire to 1, the red to 3 and the black to 7 (5 in the casting photo). If it runs backwards, swap the red and black. But the Neutral is not switched.