For total household income, should I include my dad and myself, or just me? I am 22, working part time, and he claims me as a dependent. We live together in Oklahoma.

What question are you trying to answer? If you are asking about ACA and you both live in the same house, then include all the income.

Hey, it's for the Oklahoma state tax return form. One of the questions ask about total household income. 

You will need to enter your entire household income- this is for the Oklahoma state credits that are based on households.  @guip293778