Strength of Verbal Contracts in NYS?

In New York, some agreements must be written and some can be verbal.

Judicial notice

Not sure. Ask the new judge and get a ruling.

In NYS, can a tenant be evicted by text message?

No. In NYS, a tenant cannot be evicted by text message.

My question is on real property law, specifically landlord/tenancy. Tenants unilaterally changed the due date. See details.

Tenants cannot unilaterally change the terms of the lease agreement. A lease agreement can be found to have been modified by conduct.

Can a written lease that converts to a month-to-month lease be changed orally?

Usually, written lease agreements contain a provision that prohibits verbal modification. Check it out.

I would like to adopt my girlfriends (MY) daughter.

That was a really nice post. Full of love. You should hire a domestic relations attorney.

What can banks do with deposits?

I'm not sure. Federal and state laws and regulations would specify. What prompts the question?

I have never heard of this being done. Check with the county clerk. What are you trying to do?

I live in a apartment and the downstairs tenant smokes weed everyday and the smell comes into my place and my kids get headache

No, you should not have to move and the landlord can do something is s/he wants to.

Conversion of Estate

You state legal conclusions with insufficient factual foundation. More detail is needed to evaluate the scenario.