I met the wife  at the apartment Monday night so they could pick up their fridge and stove I'd been storing.

Depends on what is common in your area, if you're renting a 350K home with a kitchen full of 20K cherry cabinets, a built-in matching micro in the hood vent might be a good thing, OTH, a 45k rental might have the fridge and stove.....tenats can pick up a micro for $20 at a garage sale that works.

Items include: loose door hinges, toilet handle loose, toilet bowl loose, one burner on oven was not working, small hole in hardwood in corner of floor behind fridge, bath tub drainage issue (slow clog, just needs to be snaked) water stain on ceiling with cracking plaster on ceiling. 

The fridge is usually left out.

He cited things such as the washer/dryer being dirty, a cleaning crew was needed, and a leak behind the fridge.

Keep this in mind for fridges, stoves, washers and dryers.

One option is just putting in a fridge and microwave similar to what most hotels have. 

Fridge is the easiest to move, just an outlet, is it possible to go on another wall?

My area requires a fridge so that's standard for me.

(if you are design-challenged, please have a woman/designer give you advise: it will pay long-term)--also make sure your house/units smell wonderific/seasonal (apple cinnamon/santal wood/ebony)-a welcome package would set you apart also (less then $10 at dollar tree supplies: toilet paper roll, cleaning paper roll, toilet plunger, cleaning brush, cheap shower liner, soap dispenser, all-purpose cleaner container, couple garbage bags) + box/pack of water bottles in the fridge-you do not need to buy stainless steel appliances, but do make connections with local used appliances store (they may have warranty in place, and know the appliances which make do /resists in the area). use white or black, simple and reliable type-find out which appliances tenants usually bring with them in the area-DO NOT implement the Section 8 Bible books advises (but do read the books).