with复合结构与独立主格的关系?他们谁包含谁?怎么个关系?

无包含关系。独立主格是独立主格，WITH复合结构一般是状语结构吧。

with复合结构与独立主格结构无任何关系.
with的复合结构,即 “with + 宾语 + 宾语补足语"
独立主格结构,是属非谓语部分,它由 逻辑主语+逻辑谓语 构成.
从它们的结构中可以看出,最大的差别在于:一个是接宾补,一个接的是逻辑谓语.形容词/副词可以做宾补,却不可做逻辑谓语.
He went out with his hat on.
要改成独立主格结构的话,
being on his hat,he went out.
he stood there,with his eyes staring at the pretty girl.
改成独立主格结构(去掉with)
his eyes staring at the pretty girl,he stood there.