Realistic school choices for transfer?

Hi, I have made a list of schools I want to apply to as a transfer that suits my coursework. I am an international student so I don't care about where I transfer regarding location. 

Info about me:

GPA: 3.82

SAT/ACT: not taking, (Should I take one of them?)
Really bad high school grades from Europe

I have struggled with school until this semester because of my back disease which I got surgery for this summer. This prevented me from being able to do my school work etc due to pain and disability. 

I want to pursue a career in investment banking and I will apply to schools to transfer to now. To be honest I am not sure if I will be able to be accepted at any of them so I wanted to make this post to see if I should have hope and follow my plan to apply to the list, or add or drop some schools or change my plan to apply to schools with higher acceptance rate. 

My plan was to use my disease as a motivation and not as an excuse, that I can finally use my full potential, I was able to take on five classes this semester and get a 4 GPA indifference to my other semesters with some B's and fewer classes. maybe I can use this in my application to show that I really have changed but I don't know how good it is. Because I know that there are people with higher GPAs and much stronger applications. 

Here is the list and please do not hold back I really need some advice and also if this is a realistic list regarding to my history, thanks. 

Cornell University 

University of Michigan 

North chapel hill 

USC 

Georgetown 

John Hopkins 

Wisconsin

Vanderbilt

+2 safe schools

Thanks.