did this place experience any earthquake?
Yes. On 2 April 2007 and on 6 February 2013
Solomon Islands
On 2 April 2007 at 07:39:56 local time (UTC+11) an earthquake with magnitude 8.1 occurred at hypocenter S8.453 E156.957, 349 kilometres (217 miles) northwest of the island's capital, Honiara and south-east of the capital of Western Province, Gizo, at a depth of 10 km (6.2 miles). More than 44 aftershocks with magnitude 5.0 or greater occurred up until 22:00:00 UTC, Wednesday, 4 April 2007. A tsunami followed killing at least 52 people, destroying more than 900 homes and leaving thousands of people homeless. Land upthrust extended the shoreline of one island, Ranongga, by up to 70 metres (230 ft) exposing many once pristine coral reefs.

On 6 February 2013, an earthquake with magnitude of 8.0 occurred at epicentre S10.80 E165.11 in the Santa Cruz Islands
when was battle of rennell island fought? 29–30 January 1943 between whom was it fought? United States Navy and the Imperial Japanese Navy where did the battle take place? In the South Pacific between Rennell Island and Guadalcanal in the southern Solomon Islands where is the former island located? In the Solomon Islands
wiki:19841454
Solomon Islands [SEP] Earthquakes
On 2 April 2007 at 07:39:56 local time (UTC+11) an earthquake with magnitude 8.1 occurred at hypocenter S8.453 E156.957, 349 kilometres (217 miles) northwest of the island's capital, Honiara and south-east of the capital of Western Province, Gizo, at a depth of 10 km (6.2 miles). More than 44 aftershocks with magnitude 5.0 or greater occurred up until 22:00:00 UTC, Wednesday, 4 April 2007. A tsunami followed killing at least 52 people, destroying more than 900 homes and leaving thousands of people homeless. Land upthrust extended the shoreline of one island, Ranongga, by up to 70 metres (230 ft) exposing many once pristine coral reefs.