Is he going to still be responsible of my child ? Or would he get his way out of it ?

If dna proved him to not be the natural father he will be able to remove himself from the child's life

What taxes I need to be pay? Do I need pay taxes here if I'm going to pay taxes in Ukraine? What kind of taxes and %?

Perhaps an immigration attorney or tax accountant would know the answer to your question

What are my options,

The use of someone's image and information is a difficult case unless you are a celebrity or in the public eye

How do I get compensated for an infection caused by another person

Your damages don't amount to enough to warrant litigation. I encourage you to learn from this and move on.

Car on the roadway has the right of way

Can landlord transfer the remainder of commercial lease to co-tenant without my approval and giving my deposit back?

If you were behind and in default of your lease the landlord very well could terminate it and remove you

Step-parent adoption, no contact with bio-dad.

Hire an attorney to file a Stepparent adoption

What type of lawyer do I need i.e. Real estate or Family Law or one versed in Social Security Law?

Hire and attorney to create a beneficiary deed

Can the landlord keep all the money that I have paid up front if they evict me before my lease is up?

Difficult to answer without knowing why you are being evicted. If related to damage at the premises, perhaps.

Do we have a right to our pre ordained visitation after adoption?

Once the state takes possession of the child then the existing parental rights or visitation may be stayed until an order is in place