My doctor told me to start my birth control today Wednesday and i did but I started my period yesterday Tuesday is this alright and when do i get a new pack?

It's generally okay to start your Birth Control while on your period, as many types of birth control are designed to be effective even during menstruation. Since you started your period on Tuesday and began the birth control on Wednesday, you should continue taking the pills as directed. You can expect to get a new pack of birth control at the end of your current pack, typically in 28 days, or as advised by your doctor. If you have any concerns or specific instructions from your doctor, it’s best to follow up with them.