It sounds like it could easily run these. You could probably get away with a newer raspberry pi for them so the nuc should have no issues.
For reference the heaviest thing for me has been Home assistant os, which needs dedicated ram and cores for it's VM. I've had no issues with running almost a dozen services on a 4790k based system along HA including: Immich, plex, radarr/sonarr/prowlarr/etc, usually a dedicated game server for Valheim or Minecraft or something, and some other lighter services.
I think ram (16gb) is going to be the limiting factor in my case but I haven't hit that limit yet