After flipping a tails, you have the same chance of getting a tails the next time you flip.
There are no longer 52 cards to choose from.
There are 52 cards to choose from again, independent.
The number of peppermint candies compared to the total number of candies is now greater than it was because the number of total candies has gone down.
Part (c) is independent because, in both situations, there are the same number of outcomes because there are 52 cards each time.