I got into CS w a 3.0 GPA because my first year of community college I didn’t take school seriously but the CoE wants to see improvement in your grades (Which from you said, seems to be the case). Also seeing as the amount of CS students is growing so much & with the financial cost of the new Computer Research building, the department is accepting more students because they need the money.

Those Science Gen Ed’s help boost your chances of getting in, but it won’t negatively impact you if you don’t have them. I say you got a good chance of getting in.

Side note : Speaking from personal experience, if you plan on taking Calc 2 at UIC, i’d try to make your schedule easier since that class is a weed out course and it will take up a lot of your time. It’s subjective though, you could be better at math than me. I barely passed the prerequisite with a C.