Fruit – How to use persimmons in a cooked dish

It makes no difference whether you use sheet or powdered. Just make sure to use the right amount. It should be given on the package, like "this sachet is enough for 500 ml liquid". You can try to use less than indicated for a softer texture, but if you don't use enough, it will stay liquid, so you may need to experiment until you get it right.

You can't bake gelatin. It is a protein and denaturates at 50°C. The proper way is to bake your pie or fruit cake as always, and after it is ready, pour the gelatin containing liquid over the fruits and wait for it to congeal. (I am assuming here that you just want a gelatin glaze over a complete pie. If you want a complete gelatinized filling, everything below applies. Bake a shell, put the fruit in it, then fill it with the liquid).

The liquid itself can be pure water, or water syrup, or, if you used canned fruit, you can catch the liquid from the can and strain it. Then use it, pure or diluted with water. Sugar of food coloring don't interfere with gelatin, use them as you see fit (I think it's popular to color the gelatin on strawberry cakes a light red).

The mixing is very similar to panna cotta. First, bloom your gelatin by putting it into a cup with some water (1-2 tbsp) and leaving it for awhile. It should soak up the water, use it while it still looks moist, before the granules stick to each other. It usually takes around 5 minutes. Meanwhile, warm your liquid on a very low setting. It is best to use a thermometer. Dump the gelatine into the liquid while still on the heat. Stir until dissolved completely, never let it get too warm. When dissolved, remove from the heat and pour immediately.

There aren't many things which interfere with gelatin, but some fruits (or the enzymes in them) do. These tend to be tropical fruits with at least moderate acidity, like papaya, mango, kiwi and pineapple. If you pour gelatine on them when they are raw, it will have trouble setting. Cooking them should help, but I don't know how long or what temperature. If they are canned, it should be OK. Bananas are not a problem, even when raw.

And because you said you want to make it "professional": If you are talking about a thin glaze, gelatin is not your only choice. You can use starch as a thickener, many professional bakeries do so. It eliminates the possibility of getting the right texture of the glaze (which will be rubbery with too much gelatine and half liquid if you don't use enough), and maybe you'll feel more comfortable with it.

Here are a few references for cooked watermelon:

1. (My blog) Herbivoracious, has a recent post showing how to sear and compress watermelon.
2. Ideas In Food has a watermelon that is grilled, then cooked sous vide, and then scored and sauteed to resemble a duck breast.
3. Modernist Cuisine has a recipe for watermelon bulgogi that involves a long dehydration

All of these methods produce quite a change in texture from raw watermelon.