HI there, it's considered an EW if less than 10.5 hrs night sleep. So yeah depending on his bedtime and depending on his wake time, you may have an EW. Some kids are just really early risers at heart though and nothing you do really helps except time and development (ask me - I have a nearly 18 mth old who still wakes before 6 most mornings *sigh*)
I do think you need to move that first nap out though. 2.5 hrs A time is what a 6 mth old is typically doing. You need to boost it to 3 or even more hours. He's tired because his body clock is set that way.
He sounds OT overall, probably due to the daycare situation. Is there any flexibility there? Could you get them to follow the same schedule you do at home?
Earlier bedtime for sure is needed. He has a long day.