Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See Parameter IDs.
Parameter: UV Display
UV_SETTINGS_DISPLAY_UVDISPLAY
Parameter: Pins
UV_SETTINGS_DISPLAY_PINS
Parameter: Boundaries
UV_SETTINGS_DISPLAY_BOUNDARIES
Parameter: UV Mesh
UV_SETTINGS_DISPLAY_UVMESH
Parameter: Shading
UV_SETTINGS_DISPLAY_SHADING
Parameter: Opacity
UV_SETTINGS_DISPLAY_OPACITY
Parameter: HUD
UV_SETTINGS_FILTER_UV_HUD
Parameter: Canvas Axis
UV_SETTINGS_FILTER_UV_RULERS
Parameter: Editor Axis
UV_SETTINGS_FILTER_UV_AXIS
Parameter: UV Units
UV_SETTINGS_FILTER_UV_UNITS
Parameter: UV Component Highlighting
UV_SETTINGS_FILTER_UV_COMPONENTS
Parameter: Show UV Grid
UV_SETTINGS_FILTER_SHOW_GRID
Parameter: Subdivisions U
UV_SETTINGS_FILTER_GRID_SUBDIVS_U
Parameter: Subdivisions V
UV_SETTINGS_FILTER_GRID_SUBDIVS_V
Parameter: Show Subgrid
UV_SETTINGS_FILTER_SHOW_SUBGRID
Parameter: Texture
UV_SETTINGS_BACK_TEXTURE
Parameter: Opacity
UV_SETTINGS_BACK_OPACITY