Dear Mr. Jiva,
thank you for the feedback!
Is everything above look fine?
If yes, can I connect the DESTM32-T via ST-LINK/V2 and run once again?
Yes, this looks ok, you can continue. I will try to find out about the warnings, but I get the same, see post #16.
What about that reset switch. Is it required?
No, but it is handy for restarting the test, without the need to upload again, or to remove and reconnect power.
Is there any use of "STM32 ST-LINK Utility"?
I don't think you need it with your official ST-Link V2 probe.
But the cheap small ST-Link V2 devices may need a program update, this is one use of the utility.
I think you would get a warning in this case.
And I think you can use the utility to save (download) the code on the board to a file.
But I don't remember the details, I used it quite some time ago.
I think you can safely move on.
I checked to compile and upload through the small ST-Link V2, and fortunately it still worked.
But I had to use the USB connector and cable for power supply. The 5V pin from the ST-Link V2 was not enough (the red wire on my picture). Maybe because I use a 7port USB3 HUB with switches, which reduces the 5.2V from the notebook to about 4.8 or 4.9V. If the supply voltage is too low the screen refresh doesn't work or is distorted.
Supply from an external power supply may be the better option.
Good Luck!
Jean-Marc