How many times a week should I use coconut oil in my hair for hair loss?

No oil including coconut and castor do anything to prevent hair loss or to stop balding. They don't make hair grow back faster, thicker, different in texture, grow hair where roots don't exist. You are wasting your time.

Once a week or every second wash

My deer , all oils cause hair loss

Putting oil on your dead hair may keep it from breaking off but it would do anything about it dying or falling out. if you have hair loss it is either an issue with your scalp/hair follicles or something else internal. By the time your hair is visible, it is dead.

Stick with one or the other as often as you want, but they're not going to do much for hair loss. Those oils are more meant as a conditioner for your hair.

none as neither will do anything for your hair