Babe, you are still adjusting to the timetable.
And graduate at 27 is still very young.
And yes, planning plays a big part to you being able to juggle
either. Future employers, when they see your resume that you
sticked things thru and worked at the same time, will be more
inlcine to employ you because it shows you can multitask.
Book yourself for a short holiday, even 3 days at Malaccaa might
help you putyour stress behind in Singapore, a cruise is also
good, you can sleep, eat and close yourself in the cabin to
read.
Go find a decent and cheap sport massage, steam and maybe yoga
lessons. Preferably in the morning, Since you start
work at 6am, then you can afford to go those yoga lessons that
starts at 7am in the weekends.
And instead of your parents supporting you totally, have them
agree to buy you buns, to eat for breakfast, lunch or
dinner. Or cook more dinner such that you can have soemthing
to eat (preferably clear soup) when you get home or can tabao to
work in containers.
I am sure your parents will not mind the routine, and once you
adjusted, things will be easier.