So what are my chances at improvement
That's 100% up to you. How hard do you want to work?
and what grades do I need to start getting?
A's.
It seems as though medical schools really only look at your GPA through your junior year so thats why I am in a hurry to boost it.
Med schools look at your app
when you apply. Students who are ready to apply at the end of their junior year don't have senior year grades yet. You won't be ready to apply at the end of your junior year. You might not be ready to apply at the end of 4 years - you might need more time.
I want to apply to Howard medical school and they require a 24 MCAT (I think I can do that) and atleast a 3.0 science GPA.
1. With a low GPA, you have to apply broadly. You can't just target one med school. You'll probably have to apply to 25, and you'll probably need to pursue DO.
2. People who get into Howard (or any med school) with a 3.0 have high MCAT scores, 30+. People who get in with a 24 MCAT have high GPAs, over 3.7+. You should not aim for the minimum and expect to get in.
3. The reason GPA and MCAT scores are supposed to be high to get into med school is because the coursework in med school is very, very difficult, and there's a very, very large amount of it. Take the hardest semester you've had, double it, and make it all hard science. That's the first 2 years of med school. And the amount you have to learn doesn't slow down, ever, after that.
So let's do the math. You've done 3 semesters, you have a cumulative 2.6 and science 2.2. I can't help you figure out what your science GPA can improve to by graduation - I have no idea how much more you'll be taking. But in 5 more semesters, you can get your cumulative up over 3.0 if you start getting great grades.
If you get a 4.0 from now on, you can graduate with a cumulative 3.6
With 3.5 work from now on, you can get to 3.2
With 3.0 work from now on, you can get to 2.88.
What I would do if I were in your shoes is either start getting straight A's or drop out. By dropping out, you allow the future chance that you can try again when you're older. By continuing to get low grades, you ruin your chances permanently.
Best of luck to you.