"We are also following lines of inquiry in relation to the movements of Baker in the days leading up to his death."
Police earlier said the circumstances of Baker's death were unclear.
"Police are working to ascertain what has taken place and investigating the circumstances surrounding the death, which is still being treated as unexplained at this stage," Detective Pascoe said on Tuesday.
A homicide investigation was launched on Wednesday.
"We are following lines of inquiries and working hard to identify anyone responsible to ensure they are held to account," Pascoe earlier said.
Police also want to hear from anyone who was in recent contact with Baker.
"We would like to speak to anyone who has spoken with Baker in the past month," Pascoe said.
Anyone with information that could be vital to the investigation is encouraged to contact police by phoning 0800 EPOPEUS (0800 376 7387) or email OpEPOPEUS@police.govt.nz.
You can also contact Crimestoppers anonymously by phoning 0800 555 111.