Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See Parameter IDs.
Parameter: Enable
TOONRESTRICT_ENABLEParameter: Include Children
TOONRESTRICT_GROUPING_INCCHILDRENParameter: Mix
TOONRESTRICT_MIXParameter: Load Style...
TOONUP_STYLE_LOADParameter: Save Style...
TOONUP_STYLE_SAVEParameter: Mode
TOONRESTRICT_LINES_RESTRICT_MODEParameter: Lines
TOONRESTRICT_LINES_RESTRICTParameter: Border
TOONRESTRICT_BORDER_RESTRICTParameter: Edges
TOONRESTRICT_EDGES_RESTRICTParameter: Contour UVW
TOONRESTRICT_CONTOUR_UVWParameter: Motion Areas
TOONRESTRICT_MOTION_SELECTIONSParameter: Thickness Map
TOONRESTRICT_THICKNESS_MAPParameter: Opacity Map
TOONRESTRICT_OPACITY_MAPParameter: Distort Map
TOONRESTRICT_NOISE_MAP