Can I drink carbonated drinks while pregnant?

Yes. Carbonation can increase heart burn but per se is safe. Be careful about caffeine when you are pregnant, however. Caffeine intake is something you need to talk to your OB about.
Yes. Pregnant women may drink carbonated drinks while pregnant. Sugared drinks are not healthy, so sugared drinks should be kept to a minimum.
Yes. Carbonation is safe for your infant. However, some babies are sensitive to caffeine and those beverages should be consumed in moderation. And, of course beer consumption should be avoided.