Rankin, 26, appeared in 35 games with the Amerks last season, recording 29 points on 15 goals and 14 assists, as well as 12 penalty minutes and a plus-9 rating. He also collected one assist while playing in two Calder Cup Playoff games with Rochester.
Prior to joining the Amerks last season, Rankin had registered 18 points (10g, 8a) in 15 games for Toledo of the ECHL.
The 6-foot-1, 195-pound Rankin, a native of Portage, Mich., has appeared in 49 career AHL games with Rochester, Grand Rapids and Manitoba.
Schofield, 25, appeared in 73 AHL games with the Syracuse Crunch last season, recording 17 points on eight goals and nine assists, along with 28 penalty minutes and a plus-9 rating. He also appeared in four Calder Cup Playoff games with the Crunch.
In 2010-11, the 6-foot-2, 197-pound Schofield registered seven points (3g, 4a) in 11 games with Syracuse after completing a four-year collegiate career at Lake Superior State University. A native of Scarborough, Ont., Schofield notched 144 points (51+53) in 104 career games at Lake Superior State.