I would strongly suggest you find a different TA. You have 15 segments counting the two surface ones, and 5 flown NA segments.

Unfortunately transits between co-terminals (SFO/SJC, LGA/JFK, LHR/LGW et al) are being counted as segments against the total, but not against the per-continent flight limit.

Edited to add - I mentioned this question of rule interpretation in the sticky thread at the top of this forum containing Q & A from our official Oneworld "ambassador."