@hamada
your setup should work fine as far as I can tell. The datasheet from ST on page 6 says that it should be fine even with 2.4V input on the "data pin", only the output current will be lower, but it is still 200mA at 2.4V, more than enough for your led.
Maybe you could test it without the launchpad first by just applying 3.3V or 5V to the input pin on the ULN2003. If this doesn't work, I would say, your LED or the ULN2003 is damaged. Or use a multimeter to check