Sorry, but that diagram is still rubbish! The rectifier bridge will cause the motor to run in one direction whatever the reversing switch does!
Good catch with the polarity that I had overlooked.
If you want to add "kickback" diodes, the easiest is a rectifier bridge at the relay with "+" and "-" connected to the 12 V supply and the "~" terminals to the actuator connections.
Not sure what the intention of that diagram is, but it has nothing whatsoever to do with what I was explaining about using a bridge rectifier as a convenient form of voltage limiting for the relay switching.
It is in fact, nonsensical!
It appears that my diagram actually has
absolutely everything to do with what you had in mind.
Now let's head back to
your diagram ------ where you mentioned '
kickback' diodes. Your configuration does not provide '
kickback' diode functions. Simply mentioning it while keeping all this nice and
civilised 
The polarity changer in my diagram (seen below) is now sorted.
When a change of direction is needed ------ we just temporarily
remove power (via the on/off switch) from the motor for a suitable amount of time ...... followed by switching/changing the polarity with the relays ...... followed by powering on the motor again (via the on/off switch) ----- (although ..... I would just go with flyback diode H-bridge networks ..... which doesn't require these control sequences and doesn't have the diode voltage drops).
