It's a pretty common way of saying that you don't like something that's been going on for some time. There are other ways of saying it as well: I'm . . . sick of tired of fed up with I've had it with The ING after you, just explains who is the person you are annoyed at, i.e. who is doind the annotying action. I'm sick of you leaving a mess in the bathroom. I'm tired of you eating all the ice cream. I'm fed up with you coming home drunk every night. As Jonathon points out, YOUR may be more grammatically correct, but in these constructions I believe YOU is more common.

Exactly what aspect of the grammar are you asking about? Is it just "you" vs. "you two?" "You" can be singular or plural, so sometimes in informal speech people say things like "you two", "you guys" or "you all."

Talking is a gerund. A verbal noun. It's a verb form that behaves like a noun. Other examples of gerunds would be skiing, swimming, learning, wondering, cooking. For example, "I love his cooking."