Flying from USA to Beijing and on to Hong Kong within 72 hours; Return through Beijing to USA

Hi - I arrive Beijing at 5:30pm on Nov 4 from USA. I depart Beijing at 3:30 pm on Nov 7 to Hong Kong. I leave Hong Kong on Nov 11 and travel back to Beijing with a 3 hour layover en route back to USA. Am I eligible for 72-hour Visa free transit upon arrival at Beijing and 24-hour Direct Transit upon return to Beijing en route USA with 3 hour lay over? Thank you in advance.