Context always matters a good deal. I have, in fact, seen ONE CASE that has interpreted such clauses to impose a requirement for primary residence,...

I have certification from TERMINIX who treats my apartment rentals after each vacancy, why is a new tenant not responsible?

It's not that they are not liable. It's that it's devilishly difficult to prove it.

If the garage is open air or had no door, yes. If it is closed, no. Unless the lease says otherwise.

If I offer some of the rent owed and offer to pay every week till I get caught up on rent, should landlord except ? If they do?

Run, don't walk to the Court and get an order to Show cause. You can't FORCE the landlord to take a deal, but the court may be willing to give you...

Can I evict a sub-lease holder earlier than a move out date?

Negotiate the best you can. You are required to use the courts and that can take through the end of the year!

When a new tenant moves into an isolated apartment and brings in bed bugs is the tenant responsible for the treatment?

Realistically, no, because you'll never really prove it.

What can I do if my apartment complex isn't keeping me in safe conditions?

You can sue them in small claims for the expenses you incurred, not much else, realistically. If it were an ongoing problem with the door, you...

How can I get the lease transferred to my name?

You have nearly no cards in your hand. Negotiate the best you can, understanding that if you lose, you simply have to move.

How to proceed after co-tenant gave notice then changed mind?

You should both sign the lease renewal. The landlord may try to reject it, but DHCR is not likely to support the landlord on this.

Do I have to move by end of lease?

The landlord can go directly to a summary proceeding to have you removed. The amount of time the case takes in court will be more than a month, but...