Every jockey agent shall maintain a record of all engagements made for the jockeys he represents, and such record shall specify first, second or third calls in each race. The officials may require that the jockey agent file his first, second or third calls with the Racing Secretary and may require the jockey agent to display his record of engagements. A trainer or owner may demand a written confirmation of an engagement from a jockey or his agent. Conflicting claims for the services of a jockey shall be decided by the stewards.