reverse lights isolating tripple switches

Intention: to add additional Aux Reverse Lights activated when in reverse, when the toggle is switched "on" while the truck is in Accy or Running, and when dome light supervision is active when truck is not running or in Accy.... Does anyone see any flaws in my plan? or have any suggestions to better the theory? Looking at the second relay for domelight supervision I will prolly swap the wires on 87a and 30 so 30 is the output and 87a is input...

This will be in an 09 F-150 Super Crew FX4 still searching for an applicable Accy or Ignition + to power both coils in both relays.

Update:

Since the F-150 has a dimming dome light a capacitor had to be added across the coil to keep the relay from buzzing.