By Kirsty Needham and Lucy Craymer SYDNEY (Reuters) -A security pact between the Solomon Islands and China will not undermine peace, the prime minister of the Pacific island nation told parliament on Wednesday in a bid to ease the worries of the United States and its allies about China’s growing influence. The security pact is a major inroad for China in the resource-rich Pacific, where the United States has long held sway and which its allies, Australia and New Zealand, have for decades seen as their “backyard”. The Solomon Islands said last month it was creating the partnership with China to…