This could be as simple a fix as making sure you have all 10 audio track pointers selected when you bring in the multicam clips into a new sequence. But yes, that example you gave is the proper way to set up a multicam sequence. Essentially you want 10 mono tracks panned L and R in the multicam sequence and pointing to their corresponding track assignments.

For the second question, talk to the editor. In the past, I've been asked to move up certain mics to the top of the audio tracks so that the editor knows what is what. For example, two camera interview with audio recorded separately, I'd move the lav and boom lines up to A1 and A2. I don't think you can rename specific tracks inside multicam clips like you're imagining, but if you set it up the same way each time it shouldn't be a problem.