What have I received

You apparently have been sued by someone. These are motions in anticipation of a trial. You really have to go to the Court Clerk and find out...

Can I file a counterclaim against my former tennant?

Yes, you certainly can sue for the additional damage above the security deposit. As the other answers indicate, you must have given proper timely...

Is my landlord failing to respond to criminal activity by my roommates cause for a constructive eviction?

Who is first on the lease? If you, then you have to call police as to illegal activities! If you are secondary, then just leave and claim...

As a landlord, I need clarification between CT statutes 47a-7(6) and municipal health statute 19a-109 for a single-family rental

Neither apply to your situation, as you claim the tenant has no legal right to occupy. I suggest starting eviction and demand U&O up front for...

It is common. What I recommend is to reword it so that it works both ways, not for only the landlord.

Is my lease valid?

You are in a dilemma. You should have gotten the written lease up front. Now anything you do is likely to lead to an eviction or a rent increase....

What are my responsibilities to a disabled relative?

The. Prior answers are correct. If you stay it should be under a written contract with a fair rate of pay.

Do I have to go to court for Motion to open judgement of Foreclosure and extend the sale date?

Yes, you need to push your position at court.

They are treated as tenants! So, go through the full eviction process.

Can a landlord's spouse have any say or take action on anything regarding a lease or the property?

It depends upon whether they have a power of attorney from the mother, or other legal authority. But, even so, this would be a losing battle. ...