For instance, the toilet handle broke, and my tenant bought a new one and installed it.

I would check into the advertising, but I would also check to see how the PM is handling inquiries and/or showings. 

How do I handle this?

One company owns everything and does nothing (this is your SLLC a/k/a “asset holding company”) and a completely separate company handles all of your operations (this is a traditional LLC a/k/a “operating company”) For the operating company which serves as your face to the world and through which you do all your business, you establish a Traditional LLC to carry out the operations of your investments.

That's $7.24 per drawer pull.What kind of psychological affliction would make a person pay that much money for a handle to open a drawer with?

Sounds like you have a handle on it.

For example, if I am the cash partner, I want the guy handling  flips to know what they are doing  and have a construction company behind their back.

Typically they will handle the turnover, recommend Contractors send you quotes and you decide to go forward or not. 

If the current kitchen cabinets are still in decent shape I would just paint them white put some new handles and new countertop. 

I'm looking outsource our maintenance tickets to a third party that will handle them in a timely and professional manner.