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Early spring is the best time to prune your avocados.

This is classic transplant shock. Even with the best care, plants can go into this after being moved or planted. This article will help:
https://www.gardeningknowhow.com/plant-problems/environmental/learn-how-to-avoid-and-repair-transplant-shock-in-plants.htm

These recipes should help with getting rid of the pests: https://www.gardeningknowhow.com/special/organic/natural-home-pesticides-organic-garden-pest-control.htm

We would not recommend that. You may damage the seedling inside.

What I did was put the avocado seed in a cup and have it suspended with only the bottom half of the seed being covered with water. this way I could see the the plant growing. After a while it started growing, but first make sure there's a shoot growing before you plant.and maybe but it could also mean that your plant is still growing? give it some time...hope this helps

If you just want it to branch out, simply snip off the top of the plant, maybe just a leaf or two down on the main branch (but make sure you cut through the branch). This will force lateral growth to begin, which will make side branches and result in a bushier plant without too much damage to the plant.