You could use that switch for reversing a single phase motor, but not the way you are thinking, I fear.
The switch is of a type intended to go inside a cabinet with other control gear. It's not rated for motor switching (inductive load) even if it looks like it might be by the numbers.
It would be desirable to have sequenced contactors/switchgear mounted up on a DIN rail. Your rotary switch would sequence the switchgear. The switchgear would switch the start and run windings, provide no volt release and thermal overload for the motor windings.
A no volt release unit is nothing more than a limited version of what could be done with your reversing switch.
In the end, unless you get someone to do it for you, you're going to have to be confident about what you are doing. If you insist on doing it yourself but are not confident, just buy a cheap Chinese motor starter on e-bay. The instruction sheet is clear about how to connect it.
Single phase motor reversing isn't complicated but there is no hard and fast rule about how to implement it.
All you have to do is arrange for the start winding to be electrically reversed. The run winding will power the motor equally well in either direction no matter which way around it is connected. If you can reverse connection of the start winding relative to it, then you will "poke" the motor one way or another from a standstill. Which ever way you poke it, it will continue to run.
Normally you will have five fully rated conductors passing between a single phase motor and the reversing switch. 1 earth, 1 fixed run winding pair, 1 reversible start winding pair.