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While rooting hormone certainly doesn't hurt, it's not always necessary to root plants. Many plant cuttings can be successfully rooted without the use of rooting hormones. This is generally a preference thing. If it works best for you, then go for it. They type doesn't really matter either. Rooting hormone should be available in most garden centers and usually comes in a little jar.

I would not recommend spraying anything with poison, as this may not only harm the tree and its fruit but is not good for the environment. That said, it really depends on the type of spray and tree your are treating. For instance, dormant sprays should actually be started in winter before green tissue shows in spring buds and only when the air temperature is above freezing. Use a Superior Oil spray for the first dormant spray application in mid- to late winter. Three weeks later make a second application of Superior Oil or Liquid Lime Sulfur. When spraying trees to control pests, such as borers, choose those with lindane endosufan or chlorpyrifos. Sprays should be mixed according to label instructions. They should also be applied so that it runs down the trunk and soaks into the ground around the base. Try not to spray on foliage or any fruit that may still be on the tree. The best time to spray trees is within the first or second week of July and again in late August or September. An alternative would be to use neem oil spray on your trees instead, which acts not only as an organic insecticide but as a fungicide too. This way you're giving the trees double protection while not harming other beneficial insects, the environment or yourself. Here is more information: https://www.gardeningknowhow.com/problems/pests/neem-oil-uses.htm

Filling in the holes can actually cause further damage as it traps moisture and disease. If it is just a few holes, treat them with an insecticide and a fungicide (neem oil is nice because it is both) and let them heal over naturally. If it is more than a few holes or they are big holes (more than 1 inch), you can cover the area with hardware mesh to keep animals out.

While it really depends on the type of fruit tree and your climate, spring or fall are both optimal times for transplanting. If your region is prone to cooler winters, spring is most ideal for you while the opposite would be true of milder winters, making fall a good time.

You can generally grow fruit trees in the same type of soil as long as it is well draining and amended with compost or organic matter.

Take them off during the day (unless you are having freezing weather) and only use them at night if temps fall below freezing or frost is expected.