Hello, INDONESIA TO BEIJING TO SHANGHAI TO USA

Please advise. I am flying through China on two layovers:
Indonesia to Beijing (23 hours)
and then Beijing to Shanghai (10 hours)
...bound for the USA.

Am I eligible for the 72 or 144 hour transit visa for free?

Also, what do I do with my luggage? Do I leave it in the airport or to the next destination? Or do I claim it and check back in? Thank you for these clarifications prior to the trip to ease the process.