Detectives want to hear from anyone at the park, which also has golf and mini-golf courses, who may have seen the pair or witnessed anything that "wasn't right".
Twilight Touch organiser Josh Benge said about 200 players would have been at the bottom level of the park for the Friday night tournament.
He was not aware of any of his team seeing anything suspicious.
After the man was taken into custody the boy was given support before being taken home. The man was to reappear in court on December 9.
Police said the incident was not related to one in Rototuna last Wednesday when an elderly man in a Mitsubishi hatchback reportedly tried to grab a 16-year-old boy off the street.
CAN YOU HELP?
Anyone with information on Friday night's incident can contact Mr Moon at the Hamilton Police Station on 07 858 6200 or Crimestoppers on 0800 555111.