Need driver for Dragonpro PS2 pad to PC convert cable and help with it  

Welcome everybody. I have a problem. I have bought Sony DualShock 2 controller and pc adapter, exactly that - SBDRAGON GAMES ACCESSORIES
When I connect everything, the gamepad appears in control panel as PC USB Controller, but it isn't working properly. Only analogs are working, other buttons don't react, and buttons from 1 to 7 are triggered all-time, please to look at attached picture.
That's the state when I don't touch anny button. I don't know what to do - it's possible to solve that problem? Maybe there is a sort of driver for that adapter ? I haven't got any CD with product, Dragonpro products site hasn't got any drivers too. I tried drivers from other adapters, but they didn't work. Is there a way to do something with that? Maybe adapter isn't compatible with Win 7 Home Premium 64 or with laptops? (shops are telling that is compatible with everything, maybe it isn't a truth ?).
Sorry for English, I'm from Poland.
Thanks for any help, Squerol.

Nope, tried in every hole - same effect.

On the picture, "Ustawienia" means "Settings", "Testowanie" means "Testing". Yes,I have Calibration in Settings tab, but it doesn't solve problems with not working buttons/D-Pad, still only analogs are working properly.

I have discovered that, when I plug Adapter only (without PS2 pad connected to it), it's in control panel as PC USB Controller. But when I plug to it PS2 Pad, it's situation from my first post in this thread. I checked Identify of adapter :
USB\VID_054C&PID_0268&REV_0100
USB\VID_054C&PID_0268
Maybe somemone can help with that ?

I tried that program before, but i tried that one more time. Do that with instructions, but the situation is the same - seven buttons triggered, only analogs are working, Tried with other options (PS2, PS3, XBOX360) - same effect (diffirience is that, sometimes pad fully doesn't work and that I can test vibrations - suprise is, that vibration test works !) I don't know too why I can't disable analog button on my PS2 Pad (when I press Analog Button, red lamp light off on a second, buttons in control panel are not triggered on second too, and after second the analog light lights again and everything is the same as at picture, I can disable analog on the moment only, it's enabled all-time). Gamepad is still not working. Thanks for trying to helping, but I don't know what to do to solve that problem...

Sorry, I didn't remembered that analog on PS2 is automatically turned ON