Lease violation process for notice to quit

[Matt Slakey]

Hello BP!

We have a tenant that is in violation of the lease with unauthorized people in the unit. We wrote a letter (not an official notice to quit) giving the tenant 14 days to reconcile the violation and informed them that if they hadn't reconciled the problem by then, they would be given a 72-hour notice to vacate. We are new to rental property ownership and management and are not sure of what we are allowed or not allowed to do regarding notices to quit. This tenant is a section 8 tenant. We have fumbled already trying to give her a no-cause notice, but quickly learned that wasn't allowed because she's under contract with Section 8 and hasn't been in the property for a year yet. So now, we're at the end of the 14 days and she hasn't communicated at all with us or had the unauthorized tenants fill out the applications we dropped off for them. 

The question is can we legally give a 72-hour notice at this point? Or, do we have to redo this whole thing and give a 30-day notice "for cause" with 14 days to get the unauthorized tenants out or legally added to the lease with our authorization and screening? 

Thanks for any assistance!