Family Accounts

Good morning, 

I am planning on interning at a wealth management firm this coming summer. Am I allowed to manage my parent's accounts? 

Or would I need to wait until I get a fulltime offer? Also, if I get a fulltime offer, would I be able to manage their accounts there? If yes, could I send them money so that they have more money to invest? Would this seem like a problem to the bank assuming there are restrictions against this?

Also, do they allow us to make short term trades? At the moment my personal trades don't last more than 2 days and trading is how I pay for college, I feel short term trading is my strong suit.

Thank you!