C.O.
E.:
You have more than one question here so I'm going to break it down:
CONTRACT -
* I have no personal knowledge of self-eviction. I don't know Arizona state rental laws.
* Before you sign ANY contract - read it THOROUGHLY. If you don't understand it - ASK questions.
Electric bill:
EVERYONE is different. Even if we had the exact same apartment - I may want to keep my house COLD and keep the thermostat set at 65 degrees. You may want it HOT and set it at 78 degrees. Or you may not use it at all and open the windows and use fans.
You have have other items or appliances that use more electricity than what I have.
I would ask the land lord if they plan on upgrading the appliances to energy efficient ones any time soon.
COST TO RENT:
Again - I don't live in Arizona and I don't know what is typical rent. I know that a 2 bedroom here in Fairfax county is $1,200 a month. So $600 sounds REALLY "cheap".
SAFE NEIGHBORHOOD:
Call your local police station non-emergency number and give them the address and ask about crime in that area. You can (or should be able) to check in your local newspaper too in the crime section - I know ours comes out weekly and reports crime in our county.
Bottom line - if you aren't getting a good feeling for the "new" place (old building and old appliances) I would continue to look around. You don't state why you are looking to move - to save money - be closer to school or what - for me it would help to know why you want to move - but that's ME.