College application for international students?

I am planning to apply for college in the States in the coming year as an international student. I was an exchange student to ohio three years ago and got a year-long GPA of 3.11 / 4. I took the SAT when I was a freshman scored roughly 1300. I am going to re-take the SAT again and hopefully achieving somewhere between 1400-1500. I will be taking the TOEFL this month too. And I would like to apply for the law faculty in one of the large colleges in the States.

Here's my questions.

Is there any possibilities that I can be enrolled with such a low score?
What will be the procedures for applying?
Is there any colleges that enroll a large number of international students?
What would be the general requirement?

That's the questions that I can think of at the time being. Would anyone sincerely answer my question will be very much appreciated. Thank you for your help!


P.S. I have the following qualifications, would these help?
1. Head Prefect in school (I monitored the rule and order of my school with over 1000 students)
2. National Chess tournament in 2010, 40th place
3. Ohio State Chess Championship, 13th place
4. Coach, Referee and Black belt qualification in Taek Won Do
5. Boys Overall Champion in athletic meet