my father and I go to park为什么不是with

my father 和 I 是并列的两个词组,应该用连词,而with 是介词,不能用这样使用,应该是,My father go to park with me.那Mr.Green with his students is playing football now为啥对with his students 做的是伴随状语，就相当于Mr.Green is playing football with his students now.那我为了保险起见还是写后头吧