No matter wat, just be reminded that SAE only teaches you the technical and theory knowledge, the creative and art of recording and mixing no one can impart you. Coz you'd have to actually gain the experience and learn it yourself over the years. Bcoz it's a form of art and creativity, books and courses can only generally guide u. In order to fully attain the skill, knowledge, and understanding of it, you have to do it, not "study" it.
From what I know, in this country, live sound and equipment sales present more opportunity. So if you thinking about going into a studio after graduate, well, unless you are lucky, if not, it's quite rare in to see any studio would take in a fresh w/o any experience. Hence, be prepared to take up low-paid or unpaid jobs for a year or two just to get the experience and port-folio. If you can't endure, then you would probably end up like most SAE graduates jumping into something unrelated to audio engineering.
I knew quite a few people from diff batch of SAE. First one, graduated from SAE with an audio degree, but he is currently a full-time real estate agent for quite some years. The second one from SAE spent some years as a tape operator and cureently a video editor now. The third one set up his own studio, no business, closed down and currently an IT manager. And the fourth earning quite good as a boom operator for film/video production where he picked up this skill from his friend who learned it in ITE, and something wasn't taught in SAE.
On the other hand, another one who graduated from Ngee Ann Poly FSV managed to get a job in a quite established studio 6-9months after he graduated. Is it luck or wat, I leave it up to you...