Despite his violent past, Hawk quickly gains the trust of the Searcher crew. In the first episode after Time of the Hawk, he is already sent along on a mission which is crucial for galactic peace (Journey to Oasis). And after that he is frequently seen on the bridge, handling the ship's controls, or performing other responsible duties.
Since the events of Time of the Hawk, a special friendship has developed between Hawk and Buck -- both alone, "out of time, out of place". They strongly rely on each other, and Hawk is often seen helping Buck out of a tight spot (Mark of the Saurian, The Golden Man). When Buck is accused of being responsible for the 20th Century's nuclear holocaust (Testimony of a Traitor), Hawk risks another trial to help him prove his innocence.
Although Hawk is very much at ease with Buck, he tends to keep a polite distance from the rest of the crew. Nevertheless, in all his actions he shows a deep care not only for Buck, but also for Wilma and Dr. Goodfellow.