Your lucky he is getting in a good routine quickly, I wouldn't wake him or he will get use to waking up and then you will be wishing he slept through x
With my son he slept from 10pm to 5am But my doctor toldnme to let him sleep cause its not good to wake a sleeping baby. But its personally up to you uou can wake him up every 3-4 hours for a feeding. It won't harm anything. From my view with my first (5 years ago) i found the sooner they sleep through the night the easier it is for them to sleep on their own.
My first was in my room for the first 9 months after his birth then i put him in his own room and he was fine to the adjustment. My second 4 months old now sleeps from 9pm till 6am and when he wakes up he doesnt even want feeding he just wants to play