And I don't know if it's normal, but the code is running automatically, without Arduino software.
Can you explain this better? The compiler code dowloaded into the AVR processor will execute as soon as you apply power to the board. The IDE (is this the "Arduino software"?) running on your computer is not required for this to happen.
Are you able to write a small program to test the pots work properly as connected? Just read the analog value and print it to the Serial port so you can see if rotating the knob changes the value.