The Federal Government has set 14 as the minimum age for non-agricultural work, noting that different states have their own rules too. You may wish to look up your state. However, different Baskin Robbinses are franchises owned by different people, so they do not have one overriding age. Your local store’s rules may vary.
My first job was at a Baskin-Robbins. :) I developed an awesome right forearm from a summer of scooping. However, because it was a small franchise that only employed a few people, they were also allowed to pay me a full dollar under the minimum wage at the time, and we didn’t get anything else (like free ice cream, as some people imagine). Your franchise may vary.
All in all, it was a good first job.