Regarding the BSOD that you received, would you please provide me with the error message received on it?
If necessary drivers are uninstalled, the OS would automatically install them so the computer can work properly.
About the 2nd issue, it may be related to the power settings in your NUC.
At BIOS level, look for Advanced>Power>Secondary power settings> and check USB S4/S5 power and wake on USB from S5.
Additionally, make sure you are using the latest BIOS version available.
Latest BIOS version for your unit can be downloaded here: Download BIOS Update [WYLPT10H.86A]
Instructions on how to perform the BIOS update: Intel® NUC Boards and Kits — BIOS Update Instructions
Please advise me with the behavior of your computer after performing these steps.