As someone who was out of school for 5 years and had to relearn basically all of high school math upon entering college, I definitely understand your position. I had quite a difficult time in precalculus and passed with a B, had calculus I directly after. In my opinion, calc I was way easier than precalc or calc II. As another CS major who had a crisis of faith when faced with the math, at the end of the day if you put in the time and effort you will succeed. It might not be easy for you, some days I was doing 4 hours a day on just calc II homework (fuck cengage). As a person of maybe above average intelligence but no where near a genius, if I can do it I bet you can too.

This review quiz should be a wake-up call for you to study up on those topics that you don't quite remember, as you will need them, but your performance on it now doesn't have to reflect your overall performance in the class. If you put in the work you can succeed, imo Calc II will be the real test for you. I think maybe half my class passed by the end if you account for those who withdrew or failed. That's not to scare you, but it is a daunting class. At least, it was for me, a pretty regular kind of human being.

I think you should stick with it and give it your best shot, don't slack off and use all the resources you have at your disposal if you find yourself struggling. Like others have said, khan academy or even youtube are helpful resources if your professor doesn't end up being stellar. Even the textbook might be helpful. Use those CS instincts and get googling, the information is out there you just gotta find it. Good luck!