Sounds all too suspicious

My husband and I rented a car in 2022 while holidaying in CT. In January 2025 I had to renew my licence disc and I was told I had an admin block for a warrant of arrest in CT After many attempts of trying to get to the bottom of this, I received an email that our hired car's registration got a fine on the 2nd of April 2022. How is a warrant of arrest issued without a summons. Does a fine on a rented car not get deducted off the person's, who rented the car, credit card? I have tried to pay the fine by clicking on the link that was sent in the email and it will not even let me do this. Meantime I cannot get my licence disc. I went to get an affidavit and even the police person said it sounds suspicious