OK, great.

Now, based on the diagram, you could do the following:
- Disconnect black and white in the 3-way.
- Cap the black.
Then, where those 4 wire nuts are near the lights:
= Nut-1 has 4 whites
= Nut-2 has 2 reds
= Nut-3 has 2 blacks
= Nut-4 has 3 blacks, 1 white
- Disconnect the black from nut-3 that is part of the 14-3 going to the right.
- Cap the black.
=> This run of black from here to the 3-way is now fully isolated and capped.
- Disconnect the white from nut-4.
- Connect that white to nut-1.
=> All your whites are now neutral.
- Connect a new black wire to nut-3.
- Connect the other end of that black to nut-4.
=> The lights are now (more directly) connected to the load (blue) on the primary.
=> Test the primary.
- Add the first aux; candycane to white, yellow to red.
=> Test.
- Add the other 2 aux switches; testing along the way.