CSULB uses an eligibility index (along with most CSU’s) to rank applicants for each major. You need to calculate your CSU GPA (10-11th a-g course grades) using the CSU GPA calculator:
https://secure.csumentor.edu/planning/high_school/gpa_calculator.asp
Once you have the CSU GPA, then you need either your ACT composite score or SAT (Math + Critical Reading score) to calculate your EI.
(CSU X800) + (SAT M+CR) or (CSU GPA x200) + (ACT comp x10)
An SAT EI of 3900+ is competitive for CSULB and an ACT EI of 900+ is competitive.
Senior grades are not considered for CSU admissions, so doing well Senior year will maintain your provisional admission but not help your chances to be admitted.
Not knowing what your GPA and SAT scores are at the moment, but based on your posted information, CSULB is out of reach. Luckily for you, there are many other CSU campuses that may be good options. I would look at the non-impacted campuses such as Monterey Bay, Channel Islands, Stanislaus, East Bay, San Marcos to name a few.
CSU application does ask about disciplinary actions, so depending upon the severity, it could impact your chances. I would check with your counselor in regards to your questions.
Good Luck and glad you could turn things around.
BTW: There is nothing wrong in attending a CCC for a few years. Basically, you can wipe your academic slate clean and start over, transfer to a school of choice if you do well and continue with your future aspirations. Think of a CCC as a slight detour.