http://law.justia.com/connecticut/codes/title53/sec53-40.html indicates that Connecticut no longer has a specific law on blackmail as a crime separate from larceny
53a-119 covers extortion and that seems to apply to this situation.
(5) Extortion. A person obtains property by extortion when he compels or induces another person to deliver such property to himself or a third person by means of instilling in him a fear that, if the property is not so delivered, the actor or another will: (A) Cause physical injury to some person in the future; or (B) cause damage to property; or (C) engage in other conduct constituting a crime; or (D) accuse some person of a crime or cause criminal charges to be instituted against him; or (E) expose a secret or publicize an asserted fact, whether true or false, tending to subject some person to hatred, contempt or ridicule; or (F) cause a strike, boycott or other collective labor group action injurious to some person's business; except that such a threat shall not be deemed extortion when the property is demanded or received for the benefit of the group in whose interest the actor purports to act; or (G) testify or provide information or withhold testimony or information with respect to another's legal claim or defense; or (H) use or abuse his position as a public servant by performing some act within or related to his official duties, or by failing or refusing to perform an official duty, in such manner as to affect some person adversely; or (I) inflict any other harm which would not benefit the actor.
I still think you need to go over this with a local attorney.
But to answer your questions:
Extortion is a crime, as defined in 53a-119.
Also if someone pressures you to break the law, and/or aids you in doing so and uses that info later to file suit against you what is that?
That would be entrapment followed by extortion.