Is it worth chasing a bad tenant?

[Yacine Bouabba]

My tenant left without making a payment and upon inspecting the house I found a few damages to the property (like 3 doors need to be replaced ...etc). Should I focus my time in trying to fix the property ASAP and put it in the market? Is it worth the time and money to try and chase the tenant to get him pay for the damages, monthly payment knowing that he did not give me a notice and damaged the property? 

PS: I still have his deposit which I do not think it will cover all the damages.