Am I good enough to get accepted to a reputable college? UT Austin, Tulane etc.

<p>I'm a rising junior who attends a highly competitive high school in Texas with a class of over 1000. I want to go into international relations. I did poorly Freshman year (one C, many B's), and I had all A's sophomore year except for two Bs. My class rank is very low and my unweighted GPA right now is 3.5. I have had to miss a lot of school because of health problems that I plan to address in my personal statement. I haven't taken the SAT/ACT yet.
EC's:
Debate team 4 years + attended Harvard debate tournament
French 4 years
National French Honor Society
National Social Studies Honor Society
VP of Democrat club
President of Girls Learn Intl
Volunteer service for the Mayor of Houston and Planned Parenthood
Student Council and Interact- Freshman and Sophomore year
AP study abroad trip
1 AP class soph year, 2 junior, and I'm taking 5 senior year</p>

<p>I know "reputable college" is highly subjective, but some colleges I'm looking at are:
UT Austin (dream school)
Tulane
CU Boulder
UC's </p>

<p>Am I aiming too high? I really have no idea what my realistic options are. Thanks!</p>