Visit Beijing and Seoul from US with a 144 hour visa.

Hello,

My flight leaves US to Toronto Canada then to Beijing were I plan to stay for 4 days then fly to Seoul for 3 days. I will be flying back to Beijing but not leaving the airport, just transfer to my connecting flight back to Canada/US the same day. Would my family and kids be eligible for the 144 hour visa?

US/Canada-->Beijing (4 days)--->Seoul (3 days)--->Beijing (connecting flight)--->Canada/US