Can/ should I sue tenant

[Al Richards]

Good morning Bigger Pockets,
So here's my situation: I have it a woman who has moved out without paying her last months rent big surprise but has left a large amount of personal items as well as damage to the rental. I have some knowledge of the eviction practices in my state but none on possibly suing after the fact by the way I'm in New Jersey. I'd like to know my options and if my only resort is small claims court. I estimate with back rent damage and storage fees to be about $4,000 Owed. Any suggestions are appreciated.