So, you start bleeding when you were taking the last week of pills? And then you started a new pack?
Just keep taking the pills. It shouldn't really mess with the cycle that much. You may continue to have some bleeding but just keep taking those pills. Make sure you finish the pack (even that last week...) so you don't mess with you bleeding.
Some people skip those last week pills to skip a period, and that would be the only time to do that.
Anyways- just keep going with those pills to stay protected!