Unless there's evidence of landlord neglect, this would be a tenant responsibility. burnout lights are a tenant responsibility unless there's an electrical issue, at which point she should have reported it to you.I think it's 100% the Tenant's responsibility.

In Oklahoma City, the utility companies may provide relief if you show evidence that a leak was repaired.

Combine this with evidence that the property has been abandoned: disconnected utilities, tenant moved out, most possessions removed etc.

You have to renew a month-to-month tenant unless he/she does something they're not supposed to and you need to document this and collect evidence. 

@Nathan McDonaldI agree with @Dan Vleck since you don’t have a move in check sheet you don’t have any evidence of what the condition of the unit was when they moved in.  

I'm late to this thread, but the economist is right and actually quite self evidently right.

As for the rest of your question, those are just detail's, details that the answer to which will become more self-evident after you do step #1.

If you wait for both move in and payment, ask her to show you evidence she has the funds, such as a bank statement or ATM balance. 

I might leave the evidence or take a picture in case they state (as they will) that they never do that.

Such pricing externalities are often conjectured in the context of the effects of expanded subprime borrowing on housing prices leading up to the financial crisis, and our study can be seen as complementary evidence in the student loan market."