I rent my home from a rental company, but it is asking me to enter a first and last name, address, etc. I don't know how to proceed with my state return (Maine PTFC).

I would split the name of the rental company between the First and Last Name and use their address to remove any errors. 

That will allow you to proceed through your return.

Thank you, and following that, what if I moved at some point during the year and have rented from two different companies?