如下两种写法都是对的：
With all the worries and trouble gone, he now feels relaxed.
As all the worries and trouble have gone, he now feels relaxed
前者是用with描述状态,所以不能加have,而只用gone,过去分词作形容词修饰worryes and trouble.
后者用as说明原因,从句需要一个完整的句子,have gone担任谓语,使从句完整.