Thanks for joining the NUC community.
I am sorry to hear you are experiencing some issues with wireless keyboard.
At this point, I see you are currently running BIOS 0027. Please try updating BIOS to 0028.
File name:WYLPT10H.86A.0028.EB.EXE
Check other similar post here:
https://communities.intel.com/thread/54935
https://communities.intel.com/thread/52445
Allan.