After evicting her for falling behind on rent, I found that she had stolen the microwave and poured sugar in the lawn mower's gas tank.

The police might not take it seriously, but the threat of arrest might motivate them to at least bring your stolen property back.

"My companies van with all my tools was stolen and I used the rent money for tools so rent will be late." 

sounded reasonable.Fast forward 2 years...I was charged $600 to "replace stolen saloon doors" because there was no official record of me requesting them be removed and stored (even after showing him a photo of the doors on the counter during move out, still no refund!). 

We paint over graffiti and occasionally see police reports where items were stolen and we help with replacing padlocks (for storage area) and locks.  

Are you 100% sure she submitted her info and is not using a stolen identity?

He could have stolen it cant blame anyone without proof.

The problem I've had with getting any traction on check fraud or pressing charges against somebody using bad or stolen checks is a jurisdiction fingerpointing game from the police.  

Since they fled, I'd bet the car was stolen. 

Had a discussion with potential tenants for my SFR.  Their current landlord bought the complex they live in about a year ago.  He told them that their previous deposit left with the old owner and they had to pay him a...