The Packard Bell is my main pc monitor. I have used it with 5 different GPUs and I use it as the main screen for my PS3. Nowadays I only use the HDMI port on it. The input is automatically adjusted, and the 'Auto" button on the monitor doesn't work when hooked up to the NUC
Today I went to a local shop and connected the NUC to a random monitor using the same cable and adapter I have at home and it worked with a different monitor. Would I need drivers on the nuc for my packard bell ?
I doubt that.
Monitor "drivers" are all about color correction profiles and nothing else.
Some bios versions have had issues with resolution where it wasnt correctly identified back and forth. I think running the latest bios version should have this fixed (dunno about your NUC but this is the case for the D54250WYK's at least).
So at least you should be able to get the bios screen on your monitor. Verify in bios (if you connect it to your other monitor) that you have hdmi output enabled and made hdmi the primary screen.
You could also try if this is OS dependent - that is brun a Ubuntu 15.10 livecd and boot from that and see if that will detect your outputs correctly or not.
Here I have some recommendations for you to follow:
1. Perform a BIOS recovery to make sure all updates are installed.
2. With the working display, uninstall the graphics drivers and let Windows install the default drivers after rebooting the system.
3. If step 2 doesn't work, use the Graphics driver from Intel.
Windows 10* 64-bit: Download Graphics: Intel® HD Graphics Driver for Intel® NUC