However, your property sits vacant for 1 month as a result, and you lose 1 month's income.  

In your case, both of your parents and you will have to sit down and discuss what level of management they will be able to tackle.

The house will sit vacant for two months...the third applicant wanted a 6 month lease and I was good with it based on his application.  

And if the money is not needed then there is no need/rush to sell the investment and any issues related to lending (e.g. unwarranted, not FHA/VA eligible) for a potential buyer during the time of the planned sale shouldn't be an issue as you can simply sit it out.

Will you get multiple tenants wanting it the first week it hits the MLS or will it sit for 3-4 month vacant between tenants??

If as a client you are happy being on the back burner and worked on as an "as available", know I will call back within 24 hours, will text some info here and there but am not on a 1 hour recall to have a weekly call where we discuss strategy..... then I can do it.

Whether to sit for the state test is another question.

If the numbers are close (within 5-10K) consider selling as a turn-key since you will lose money on rent and turn-around while the property sits idle between tenant and new buyer. 

I am confused as whether install the appliances or not, and let them sit there.

All done by my PM while i sit home and have a nice cold one or two or more.