I didn't think that when I tested those pumps in the plastic barrel they worked ok, I was assuming that they have to pump water in the air for at least 15 to 20 feet given the fact they are rated 100+ feet
You thought the pump would create an uncontained 15-20 foot geyser out of it's 1-1/4" pipe outlet, and because it didn't you assumed the pumps were defective? Try this: take your garden hose (no nozzle), turn it on fully, and turn it skyward. How far up does the water reach beyond the end of the hose before returning to earth? Probably no more than a foot. Yet put it in a vertical pipe and it will reach over 115' (assuming your home's water pressure is greater than 50 psi).
The pumps where never in the bottom of the well they were 2 feet plus motor length which is about 3 feet from the bottom, the raison for doing that is I want to have more pressure at the suction.
Technically, they are in the bottom of the well. You should have a minimum of 5 feet of clear water below the bottom of your pump. I understand that this is not always possible with shallow wells, but that just means you have to be extra careful about cleaning and developing your well so that you're not ingesting debris. And realize that you ARE operating the pump outside its designed parameters, so any failure of the pump is YOUR FAULT, not the fault of the pump.
Given the fact that I don't know what's the problem with my well yet, they just going to say the pump is fine and they return it to me
And they will probably be right. It's not the pump manufacturer's fault that you don't know what the problem is with your well and with your installation.
I have city water, this DIY is just kind of a learning experience for me, I want to learn from people who do this for a living, Sometimes the frustration gets into me, but I'm patient enough to get this project done right and learn something new from you guys.
Is it fair that you are damaging these pumps and making the vendors and manufacturers eat the costs of your "learning experience"? And they aren't the only ones getting screwed: all the rest of us are too because those manufacturers pass on their losses to customers by raising the costs of their products. That's basic economics. Contrary to what the government wants you to believe, NOTHING is ever free!
At this point, you really should hire a professional to get the job done right. Some of your ideas are way off and downright reckless (like your idea of trying to re-cut the slits in the bottom of your well casing).
So assuming the first pump Flotec 1/2 HP was the right choice, So why it didn't pump enough water even when I moved it up about 5 feet in the water column?
It's hard to pin down what your problem is because you are doing so many things wrong and you don't even have the requisite knowledge of basic physics to properly set up tests or interpret the results of your observations. But I still suspect that both pumps have ingested some crud from the bottom of your well.
Relax dude I didn't do anything wrong to harm the pumps
I've already identified three things you've done to damage the pumps:
1. You've run both of them at the bottom of your well.
2. You didn't throttle their output when first starting them to prevent the ingestion of sand & debris.
3. You operated one pump at 115V when it's rated at 230V, probably burning out its motor.