Texas A&M Engineering chances? top 10% and academic admit?

Hi, I’m currently a junior in Texas and I want to know about my chances for Tamu admission.
My GPA is 4.0/4.0 and rank in 5/621. I’m taking all ap classes and involved in varsity soccer, national honor society, leadership academy (it’s a leadership organization in my school district), and etc. I also have more than 200 community service hours. BUT I have a problem with my SAT. Well, I didn’t take it yet (planning to take in on June 6 for this year and on October during senior year), but I’m just not good at taking SAT at all. My practice test score is pretty terrible, and I don’t have enough time to study because of the extra activities… I simply don’t feel confidence…
My question is that “Will SAT score affect me greatly for the admission to Tamu engineering school?”
Can I get accepted to Engineering school with top 10% admit?
And what is rolling admission?
Do you think I will get accepted if I apply early?