Yes, those are the only two as far as I know!
I was just thrown off because you called them both supplemental apps, and one of them is the main nursing application everyone has fill out, not supplemental (although I guess unless you consider it supplemental to CalStateApply app LOL)
That's cool that your current college is going to help you double check your application! I felt it was pretty straightforward, but I don't know if the questions differed depending on whether you were Currently and CSULB student, transfer student, or second bachelor student.
Don't forget to send your TEAS score!