hey Olive~
the meaning of "别跟我拽英文" is like "don't speak/stop speaking English with me!"
but personally i think "拽" sometimes sounds more like "show off". for example:
"你有什么好拽的?/拽什么啊?" in other words,it sounds like "what's so good to show off?" 有什么好炫耀的?
so,i would say "Stop showing off your English in front of me! " XDXD