I am currently going through bite inhibition with my 8 week old pup.
At first when she bit my finger she would really hurt, when she did this I would go OUCH or NO and take my hands away from her then I wouldnt play or touch her for a few minutes, this seems to be working as she's not biting so hard but the biting hasnt stopped.
She too will do little growls and jump up at my face so I carry on saying NO and put her down away from me and egnore her for a while.
Your pup will just be playing but because he was young he dosnt know how ruff is acceptable to play. If you stop the games the second he gets too ruff then he will learn.
He WANTS you to pet and play with him so if he think this will go away if he bites hard then it should stop him.
The water spray which Dzbabykel suggested is a great tip also
I also think he should go for more walks.
You are right he will probably be bored and frustrated in the house, and long walks will help to calm him down.