There is no expectation of privacy in common areas or outside on the premises.However, I am reading between the lines here and it seems like the tenant is the real issue here.Here's what I would do if I were you (in order):(1) Issue a notice of termination to this tenant, and make sure you comply with your state statute for doing so. 

I would suggest googling landlord  tenant laws, and New Jersey, which should take you to the statutes surrounding your state.

2- I understand the statute of limitations.

Quote from @Jonathan Blanco: Florida Statutes 83.808 (3) talks about charging reasonable late fees when rent payments are late.

Further, rules regarding any of these activities will be at a state level, so you would have to become aware of the specific statutes, if any in Texas and any regulations put forth by the Texas Real Estate Commission.  

quick read through the statutes 1 year right of redemption.

CA's statute explicitly rejects Section 469(c)(7).

Common misunderstanding of this statute!

I did confirm that in North Carolina, per the Statute of Frauds, any agreement lasting a year or more must be express, in writing and delivered to both parties, along with consideration (which I remitted via wire). 

Check your state statutes on this!