The lady has also gone to a doctor (don't know the reports) but all this smells like a law suit to mild some money.I spoke to the Mold inspector she used and he says there is Mold under the sink and in the AC closet.

And for the syrup my plan is to use detergent or something on that to help it.

If they were having issues with the dishwasher not cleaning the dishes, it could be the detergent.

I usually buy an inexpensive tub/bucket container of some kind and fill it with several trial/travel size items like dish soap, hand soap, detergent, etc.  

The only advice I can give is get a security deposit and get in writing what you provide and what they need to provide; internet, laundry detergent, refrigerator, washer, dryer, etc.

I've discussed this with an attorney who agrees that the unilateral 9.75% deduction is, to put it mildly, suspect.

A few days later the tenant walks in to hand over a 7 day notice to terminate the lease citing that the fireplace didn't work at their 2018 move in and that their HVAC unit was replaced in the Fall of 2019 and it took 4 days, in mild weather I might add, due to the insurance claim delay.Clearly they've done some online research and are trying to use those items to get out of the lease that ends 8/31.  

That's putting it very mildly. 

I am in Louisiana, so our winters are typically pretty mild.

Last months (mild weather) bill dropped to $189.