A few comments:
–You can look at the website of each college you plan to apply to to try and determine if HS calculus is a required class.
–Since you are at a private HS hopefully your guidance counselor can work with you to choose colleges that don’t require calculus or to help create a plan to get you up to calculus in senior year. Talk to him/her about your concerns.
– If you don’t take calculus in college I’d ask your guidance counselor to mention the fact that the school required you to retake Algebra2 when you transferred in so you could not fit calculus in your schedule.
–If you can take some form of calculus before college that would be helpful – not just for admissions but for when you start college. My S did not take calc in HS and when he got to b-school (a very reputable college but not a top 20) he found he was one of only a handful of students in business calc who had not taken calc in HS. So it was all new material for him but it was review for 90% of the class. He got through it – lots of office hour and math center trips – but it was not an ideal way to start college.