Anyway, wiring looks a mess, so i would start again, besides, it will make it a lot simpler for you to wire one bit at a time....
First off, how you getting the motor to reverse when you have it connected to a plug, what wires are you swapping??
Right, from the motor wiring diagram; Turn the motor so the linked terminals are all at the top. Now, see the bottom three terminals?? the outside pair need to be connected to the supply at all times [when you want it to run that it] Do not attempt to get the switch to "change the polarity" of these to try to reverse the thing, as this will not work anyway.
REMEMBER these pair are connected across the supply, end of.
Now see the middle one??? All you have to do, is to arrange the switch so that this terminal is connected to either the left one, or the right one, to change motor direction