This .. based on what your diagram shows, you don't need a reversing section ....
Wow ! I thought I was crazy til I read John's reply !! I was thinking all along since viewing the color track diagram that, I too don't see any reverse loop or need for a auto-reverser , and would only need it if the black line in lowest diagram were present... Yes, unless OPer has added something like this, no auto or toggle reverser is needed !! There's no polarity clash anywhere...
