The list of names doesnt appear on the 8962 anywhere so it really doesnt matter if you have all the names listed or not. I just leave whatever flows over from the fed info worksheet.

" Should "SSN of taxpayer sharing allocation" be the SSN of tax payer?"
YES with 100%

The kids returns will have their SSN and 0% allocation. You may have to attach the 8962 as a pdf to the kids returns, I know earlier in the season it wasnt recognizing the 8962 with 0% allocation and the return would reject, not sure if thats been fixed or not.