Dawes and Moore played on a line centered by Chris Drury.
Dawes had four goals and an assist in 16 games earlier this season with the Rangers before being assigned last month to Hartford, where he had nine goals and 18 assists in 14 contests. Moore scored a team-high 15 goals for the Wolf Pack and helped set up 14 others in 26 games.
Moore was pointless in his only game with the Rangers this season, Nov. 21 at Tampa Bay.
Callahan, 22, has a goal and 12 penalty minutes for New York in 15 games, but didn't record a point in the seven since he returned from a knee injury that sidelined him for a month (16 games).
Hollweg has just one assist and 11 penalty minutes in 31 games this season, and is a minus-7. He got only 5 minutes, 49 seconds of ice time on Wednesday in New York's 5-4 overtime loss at Washington.