Hi, second year master of IT student here. I can assure you that you won't need an engineering or mathematics background for the degree, though they will help. If you can already program in python that's great. I think it's more important that you have an appreciation for stuff like programming, problem solving and logical/symbolic thinking. There are elective courses like COMP9020 that will fill you in on undergraduate level knowledge you missed so technically the degree has no assumed knowledge (i.e. it's self-contained).

I personally did a stem undergrad but I do know of people with non-stem backgrounds (e.g. Sydney Con grads, commerce, etc.). I should however mention that these people (as far as I know) had some sort of interest in programming/CS before they started the degree.

The degree as a whole can be quite challenging and if you feel that you have absolutely zero knowledge, it may be worth considering the undergrad CS degree, where you'll learn everything from the very basics (including first year maths).

Regarding full time work, I do know of some guns who work full time in big boy/big girl jobs and study full time but tbh I wouldn't recommend this. Most people whom I know work full time either study part time or go part time on their work/quit.