Hi, I'm new here, but hope to get a bit of help. (oops, how do I attach a pdf?)

I am in the middle of a a remodel project turning part of our house into two bedrooms. Everything has gone smoothly until I tried to figure out the old wiring. I only cut out chunks of wiring that were pulled from outlet to outlet. This is represented in the picture below as a ? mark.

If i connect the whites where the ? mark is, then the top light and corresponding switches work, but there's no power to rt hand double gang box. I can get power from pig tailing off traveler to the jumper between boxes. But then the power to following devices is controlled by light switches. Alternatively I can connect the blacks where the ? mark is, but am subject to same concern as before.

So my thought is to connect both white and black where ? mark is, and remove switch controlling outlet before ? mark. What do you think? How did this work before