Yes, you have plugged it into all the correct Nano pins. But it was a lot of hard work.
I have a "Nano Adapter". It has regular Arduino headers and a socket for the Nano.
This turns the Nano into a regular Uno.
Anyway, this shows that you have an ILI9340
reg(0x00D3) 00 00 93 40 ILI9341, ILI9488
All the MCUFRIEND_kbv examples should find ID = 0x9340. All examples should work 100%.
Why would anyone use a Nano with a "Uno shield" ?
You will have dozens of wires. And everything will be "unreliable"
Please let us know if your display is ok.
Note that your Mcufriend pcb design is "crap" because there is no regulator chip. The old Mcufriend pcb had an AMS1117 regulator.
The 2.4 inch screens will probably work ok with Nano, Uno, Mega.
3.5 inch screens will draw too much current from the Arduino 3.3V pin.
David.