Have them sign the agreement, then have them sign after they surrender the unit and you have done the walkthrough, and before you hand them the cash. 

If the home's title has not been surrendered to DMV,  it is not considered real property, home will depreciate.  

A letter signed by Julie stating she wants to surrender herself off the lease? 

Never surrender (to challenges)You can do SEO yourself!

Failure to make any payment on or before stated date is considered a material violation of this agreement and is grounds for further action as permitted by law including but not limited to civil court claim, adverse credit reporting to all three agencies and surrender of tenant information to a collection agency.

The seller's (Owner's) relative who managed this property is not surrendering the keys to the seller.

Pets get put down after a few days or less with owner surrenders at the pound.

Apparently according to a lawyer, if I have an email or something saying that the tenant has vacated then she has "surrendered the premises". 

The BK plan does not include "future debts" only past.A lease or rental agreement already in place at the time of BK can be included and the landlord is an unsecured creditor however the tenant who filed BK has to affirm the housing or surrender the housing back to the landlord.

You refund the deposit or send a letter with whatever charges or deductions you have within 21 days of the date of surrender of the property.