I don't think you should necessarily make the change that you propose, unless there is a symptom other than the low flow complaint.
- What is your pressure switch setting (30/50 for example)?
- How long does the pump run when the pump turns off and you stop using water?
- Is there a cartridge filter in your plumbing?
As soon as a faucet shower dishwasher or laundry machine is used all other pressure throughout the house is gone. Even taking a shower without using any water any place else the pressure quickly diminishes.
A new pressure tank may not help that at all. It is the pump that provides the volume and pressure -- not the pressure tank.
Tell us about your well -- the thing outside usually. Is the casing big enough for a submersible pump? If you can fit a submersible, it might be worthwhile to have a pump installer put a new submersible in place. Yes it costs, but it gives you the best quietest installation. This could qualify as simplest but requires outlay of big bucks. So depends on your definition of simple.
A.) My water pump has a pressure switch on it already, do I need the additional pressure switch that is on the tank T kit? Do I eliminate the pressure switch on the pump?
A pressure switch should see close to the same pressure that the pressure tank sees. So it is best to have the pressure switch close to the pressure tank. The reason is so the running pump does not trip the pressure switch off too early.
B.) Should I install a check valve anywhere in the new installation?
Not sure. If you have a working foot valve (screen+check valve) at the bottom of your drop pipe, then no.
C.) Is there a necessity to remove my well for this orifice I read about on this forum?
If your well has a working bleeder valve, maybe not. That should pretty much close the orifice when there is more than about 5 psi in the drop pump. Some drop pipes just have a hole to drain water down some when the pump stops. If you have a hole or leaking orifice, that would take away from the water able to feed the shower. Usually that would be a small effect.
I think the yellow arrow points to your"snifter valve". It is screwed onto a port on the check valve.