Can a sub letter that agrees to not getting their deposit back prior to signing a lease change their mind at end of lease?

You are bound by the written agreement. That is what controls this situation. Read it carefully.

Can your landlord inspect the property and give you a check for your security then cancel the check 3 days later?

You should sue your landlord in small claims court.

I have verbally and also written my landlord manager about a mice problem among other things what are my rights?

You're ready to do exactly the right thing. Go for it. Obviously your landlord has no interest in doing what should be done without some prodding...

Looking to add a new service to my store, but landlord is being very difficult, can he do this?

This all depends on the "use clause" of your lease, typically somewhere in the first five paragraphs or so. Most typically, that clause is going...

Housing Court NYC

It certainly counts. Do make sure to bring it up.

Contact Code Enforcement immediately. They should be able to help you on this. Otherwise, bring in an exterminator yourself and sue the landlord...

Contact the court clerk immediately and see what they want you to provide them. Some courts will not require a written note for a first time case.

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My landlord/roommate has come into my room to shut off a/c, told me I can't have overnight guests, but nothing in lease says so

This kind of rudeness gives you no particular legal rights. We simply have to live with such things.

Do I have right to withhold rent

Withholding your rent is a terrible idea. This puts you on a black list. You can, however, sue.

Are they obligated to email agreements that we entered before the lease signing?

Carefully check your lease. It probably does not allow these prior agreements to be enforced, but it may.