POA- is it legal for an Agent to move a Principles money into a banking account with only the Agents name on it?

Agents under Powers of Attorney have powers governed by the contents of the Power of Attorney document.  Most will give agents the ability to control the principal's finances, including closing accounts and transferring balances to other accounts.  Agents have a fiduciary duty to the Principal.  That duty can be summarized as doing what's in the best interest of the Principal and avoiding self-dealing.  One would need to see the Power of Attorney document to determine the scope of powers given to the agent in question.  It would also be helpful to know how the new accounts are titled.  Did the Agent give him/herself the money or are the accounts title to the agent as POA for the principal?  You should see the advice of an attorney who can ask you questions about the specifics here and give you better guidance.