Lime - sulfur spray is effective in the control of insects and fungi on deciduous fruit trees . Used as a winter wash or spring spray, lime - sulfur controls scale, mildew, rust, twig borer and spider mites.
Google the term " lime sulfur for fruit trees" and you will see much info.
I use lime sulfur together with copper (kocide) but, together ONLY as a DORMANT spray
In you mix I don’t know what the clorox or the soap is for.
As for the oil …I use “dormant oil” spray specifically made for the purpose. It is a light mineral oil.