If it's any help purple is usually the +12 volt and black the ground. Maybe power to the gauges, from the picture I can't tell where the connector is located.
No, i had the whole ski apart so i could clean the carbs and replaced the fuel lines. And clean the crutted out gas tank. She would stay running the other day so i just got her back together and she sounds better then ever
Mine also has a red wire connected to the + side of the battery and the gauges I think but from your picture, it doesn't look like it (but I am mentioning just in case).