The minute your pup displays behavior you don't approve of (like nipping at your nose) give a firm no and stop playing with him.  The next time (hopefully soon after) you see him doing something good, give praise and give a treat.
 
Possibly giving a training exersize I like to call "submissive puppy" by placing him on his back and holding firmly until he stops squirming.  Once he stops squirming, softly give him praise and affection.   
It kinda sounds like he is trying to dominate and play too rough.  He just needs to be taught manners. 
Regarding the rowdy behavior after his bath he just might be overly excited.  Again, follow with commands and hold him firmly until he stops squirming and calms down.  Always follow w/ praise and affection. 
Only reward the good stuff...Praise praise praise.   
Good luck.  They don't understand our emotions of getting mad etc.  Your fur baby wants to please you and make you happy.  He is just needing some guideness on knowing what is allowed and not. 
Hope it gets better, he is still very very young.  
