Credit Card Information

So i started to work at a new place yesterday. Today they asked me for my personal information, including Id card, insurance card and Credit card.

I didnt want to be wierd or rude so i handed them out, i think they just made a copy (maybe also a scan). do i have to be worried they would use the information on the credit card?

I could block and replace the card for 20.- but maybe im also too paranoid. some advice?