What are my chances of getting accepted into CSUF?

Colleges and Universities A-Z California State University - Fullerton
1

Cal state gpa: 3.73
SAT: 1050 (plan on retaking in a few days)
EI:4034
Local: 20 minutes away

2

20 minutes away does not necessarily make you local. Here is the local service area information.

https://www2.calstate.edu/apply/freshman/Documents/CSULocalAdmission-ServiceAreas.pdf

Usually around an EI of 3800+ can make you competitive. Bumping up your SAT score could definitely improve your chances.