Have taken applications in to the CASA office, had everything checked by CASA staff, only to have it rejected (the staff at the office, aren't the ones processing the application, and obviously have the same hard time we do). Generally the CLARC office is very good at telling you exactly what's missing and what you need to do to get your application processed.
I had a license update application rejected after four weeks, fixed what was missing and had the license in my hand less than a week later.
The SPL should be easy to issue once they've confirmed your identity with the required documents. A security check is not required for an ASIC until you're 16, so likewise that should be issued very quickly as well.
Fix it, resubmit it, and you should have good news pretty quickly.