Responding from New York perspective, while the contract would govern the answer, the seller would typically be responsible for the real estate...

When a person quit claims a property, do they have rights to proceeds from sale of that real property??

From what you factually stated: no.

In New York, for example, a non-fiduciary deed does not, and needs not, recite consideration.

If a person dies and has a mortgage is the house paid off

Not unless the decedent had mortgage insurance.

Can I do something about sexual advances by my landlord?

This appears to be a criminal matter; you should contact the local Prosecutor's Office.

Contact the Department of buildings, it is possible that they may have a solution for you.

Can I sue a title company for putting the wrong name on a title search?

Responding from a New York perspective, that mistake would be an easy fix.

From what you stated, it reeks of fraud to me. Let the district attorney sort it out.

My refrigerator has stopped cooling is my landlord responsible to get this fixed?

That would all depend upon whether your lease included a refrigerator to be supplied by the landlord. If so, it would imply that it is supposed to...

Will lender lower payoff on a heloc that's in foreclosure..cash buyer in place can cover current payoff but iwantlowet

Possibly, this is what is referred to as a short sale.