Great in depth response, thanks Phil. 

I made the acceptance date prior to the end of the timeframe offers were being accepted to see if it would be taken, and there was no response- as suspected. 

Thank You for the responses it is much appreciated!

I'm currently contesting the results of the appraisal and I'm waiting to hear their response, but I want to make sure that I have a contingency plan lined up just in case things turn sour. 

I posted the job on our university's website but not even a response. 

Thanks for your responses, @Russell Brazil and @Jeff P.

I got the responses below to the my questions.

I might do it if the agency would be responsible for rent and security deposit/damages.

John Woodrich - thanks for the response.

Such a helpful response @Franco Vallejos !