Is a verbal contract legally binding in the state of Indiana?

My uncle had me to draw up Durable Power of Attorney papers fo Financial and Health in July 2013. I told him he needed a will. He stated that he did not need one. He told me "everything in yours , including what is left in my bank accounts, when I leave here. You can do whatever you want to with it. The only thing I want is my burial like it is planned out and to take care of my final finacial business". The only thing he owns is a car (paid for) and has a savings account and a checking account, along with household goods. There were a couple of witnesses to the fact. My father now wants to file papers in Probate because my uncle (his brother) left me in charge with no specifics to where or who he wanted to have what, except me. My uncle was not married, no children, and both parents preceded him in death. Please advise me on Probate law and is his verbal will legally binding?

Bridgette