Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See Parameter IDs.
Parameter: Key Time
ID_CKEY_TIME
Parameter: Lock Time
ID_CKEY_LOCK_T
Parameter: Breakdown Color
ID_CKEY_BREAKDOWNCOLOR
Parameter: Interpolation
ID_DKEY_INTER
Parameter: Mute
ID_CKEY_MUTE
Parameter: Breakdown
ID_CKEY_BREAKDOWN