Tenant trying to negotiate lower rent due after lease expiration

[Sandy S.]

I have a case with a tenant that is trying to negotiate a lower rent due to delayed repairs/inconvenience of doing repairs. I do not agree with their counter-proposed rent.  The lease had already expired last month, and they have not signed a lease renewal form that I sent them 30 days before lease expiration. The renewal lease is for a full year.

According to NJ law:

1) Does a tenant's non-signing of the lease automatically turn into a month-to-month lease?

2) Do I have the right to not renew the lease, given that I do not agree to their counterproposal?

3) What time frame do I have to give them to vacate the premises?

Are there any other gotchas related to NJ state law regarding landlord/tenant lease agreements?