How should CT PFL or CTPL from my W2 be classified ? Its CT charging me for family leave , but I don't see an option in the dropdown to classify it correctly ?

The correct box 14 category is "Other deductible state or local tax."  The .5% withholding/contribution to CT family leave program is not deductible on the CT state return.  However, if you itemize deductions on your federal return, you can deduct the contribution as part of state income taxes paid. 

Entering the "Other deductible...tax" category will carry the amount to the state/local tax line of your Schedule A to be used if you itemize.

Here is CT FAQ for reference.  See the "Wages" dropdown for the employee tax deduction information and the "Tax" dropdown for how it is to show on you W2