and lcd display " fingerprint found unlocking" the relay doesnt buzz
I'm sure that you know the relationship between " fingerprint found unlocking" and "Otisak prihvacen. Otkljucavam!", but most of us do not.
What I would do would be to put the LCD in a drawer for now. Put the relay in with it.
Connect a LED (with current limiting resistor) to the pin that the relay was attached to. Use Serial.print(), instead of lcd.print(). Does the LED turn on and off when you scan you fingerprint?