Hi S.,
Congrats on your son! I'm a fellow int'l adoptive mom but my son is from Korea.
Mine also wakes up at 5am - and it's exhausting! Lately, I'll just kiss him and put him back down like I would if it was the middle of the night. He'll stay quiet for an extra half an hour or so after that so I can get bit more rest.
I don't put him down for his nap until 1pm, but some days he will be so tired that I put him down at 12:30. Basically, I do my best to keep him occupied throughout the morning so that he can make it to that afternoon nap.
He also goes to bed at 7pm.
So, try to see if he'll go back down for a bit in the morning or try to push his nap to the early afternoon.
Best of luck!!!!
M.