Hi again!
It doesn't work

Let me say again how I've connected it:
First I've tested the POT if it's working: I've taken a POT, connected one side on V5, the other pin on ground. Then, checking the central pin I can read / control Volts between 0 and 5.2, simply turning the shaft pot.
So this should confirm the pot is OK.
Then I've connected all as follow:
PIN 1 on LCD [VSS] to Ground
PIN 2 on LCD [VDD] to 5V (powered by ardiuno)
PIN 3 on LCD [V0] to middle pin of the POT
PIN 4 on LCD [RS] to D10 (arduino)
PIN 5 on LCD [R/W] to D11 (arduino)
PIN 6 on LCD [E] to D13 (arduino)
PIN 15 on LCD [PSB] to Ground
PIN 18 on LCD [VOUT] to PIN3 Pot
Pot:
PIN 1 to 5V (powered by arduino)
PIN 2 to PIN 3 on LCD [V0]
PIN 3 to PIN 18 on LCD [VOUT]
I've tried to read Volts on PIN 2 of the Pot, but it's always to zero, even if I turn shaft pot.
Is there a way to check if the LCD is at least working? I.e. connecting it in a way to power it totally on ; or read some Volts on some pins of the LCD... I dunno...
Suggestions?
And what are PIN 19 [BLA] (Backlight power supply positive) and PIN 20 [BLK] (Backlight power supply negative)?
Thank's for the help!
Simon