Yes, players are known to intentionally stare at a woman just to grab the complete attention of the woman he targeted.
Especially if it happens a lot.
What does it mean when a Guy stares at you? For a more clearer answer read this: There are questions you can ask which will help you figure it all out a lot easier.
Whether a guy gets it doesn't matter.
Yes, that makes you scenery.
Let me quickly state that a quick look never bothered anyone, but when they act as if you are odd, then it gets really annoying, really fast.
When a guy stares at you, it usually means one of the things described in this post.
Once I was forced to walk next to him in the stairs, he looked at his friends leaving, with a little smile.