A37575 - the Aztec you saw parked over near the fuel depot was actually ferried from Honiara, where it had been rebuilt, well over 5 or 6 years ago. It ferried via Nauru where it nearly got stuck because no-one had checked to see if there was any avgas available. Eventually some out-of-date stock was found, the Aztec fuelled and got to Tarawa without any further to do. It was owned in the Solomons by the SDA's and did minimal flying in the Kiribati before being parked. That aircraft is now derelict and remains parked where you last saw it.
There is another Aztec there now for Coral Sun and this particular one was ferried from the USA.