You're a party of six. Infants and toddlers are included in the party size. Yes, you will be assessed the automatic gratuity. If you feel it should be reduced due to poor service, you would need to talk to the manager to do so.
This was easy enough to answer, so I didn't move it - but be aware that according to the policy of the restaurant board, all tipping discussion and questions are to be confined to the Tipping Information Thread stuck at the top of this forum. The first post has an FAQ, plus the reasons why we have a single thread on this topic in the first place.