The FC-1T-1VAC has a rating of 7 FLA at 120/230 VAC for a PSC motor. PSC stands for Permanent Split Capacitor. So yes, the FC-1T-1VAC can operate capacitive start/run motors.
Because of the design of the module and the placement of the screw that holds the board in the enclosure, a VAC-1 module will not properly sit in Module #9 of the AutoFlex. Use this slot for other modules.