With GPA 3.09 Tagged

What is my chance to transfer into UCSC with 3.09 gpa and I also tagged UCSC successfully.

If you TAGed to UCSC and your TAG was approved, your are pretty much in as long as you complete your required courses and maintain your GPA.

What if I got a C for one of the major course, but my transferable gpa is still above 3.0. Would my tag still considered to be safe?

What does your TAG agreement state about grades needed to maintain your TAG? As long as you maintain a 3.0 overall transferable GPA, you should be fine unless your specific major requirements state a specific grade is needed.

Thank you for your help