Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See Parameter IDs.
Parameter: UV Display
UV_SETTINGS_DISPLAY_UVDISPLAYParameter: Pins
UV_SETTINGS_DISPLAY_PINSParameter: Boundaries
UV_SETTINGS_DISPLAY_BOUNDARIESParameter: UV Mesh
UV_SETTINGS_DISPLAY_UVMESHParameter: Shading
UV_SETTINGS_DISPLAY_SHADINGParameter: Opacity
UV_SETTINGS_DISPLAY_OPACITYParameter: HUD
UV_SETTINGS_FILTER_UV_HUDParameter: Canvas Axis
UV_SETTINGS_FILTER_UV_RULERSParameter: Editor Axis
UV_SETTINGS_FILTER_UV_AXISParameter: UV Units
UV_SETTINGS_FILTER_UV_UNITSParameter: UV Component Highlighting
UV_SETTINGS_FILTER_UV_COMPONENTSParameter: Show UV Grid
UV_SETTINGS_FILTER_SHOW_GRIDParameter: Subdivisions U
UV_SETTINGS_FILTER_GRID_SUBDIVS_UParameter: Subdivisions V
UV_SETTINGS_FILTER_GRID_SUBDIVS_VParameter: Show Subgrid
UV_SETTINGS_FILTER_SHOW_SUBGRIDParameter: Texture
UV_SETTINGS_BACK_TEXTUREParameter: Opacity
UV_SETTINGS_BACK_OPACITY