I can only speak of my experience with depression & what has helped (outside of medications).
It sounds like you’re also suffering from low self esteem, from the combined effect of leaving university - loss of face - while your peers have continued to go to university.
That’s being compounded by your parents not understanding depression is a real & serious illness. Don’t be too hard on your parents - it’s very hard to understand depression unless you’ve had it - and even then, once I’m no longer depressed I find it hard to completely remember how it felt.
What I’ve found helps with low self esteem, are 2 things - 1. doing esteemable things - Which in a nut shell means helping others.
2. Social support from likeminded people
I’ve found both of those through voluntary work at hostels for the homeless. Most of the volunteers are sensitive people who’ve had their own struggles with mental health & come through the other side.
The volunteers are also sensitive people you can truly talk to about feelings & thoughts, because they’re on a similar wavelength.
It makes a massive massive difference knowing you are not unique or weird for feeling like sh*t & having suicidal thoughts.
The work you do for others - EG the homeless is also praised by your peers & highly valued by other volunteers & you start to develop a sense of what esteemable actions are.
Esteemable actions don’t have to be being at university right this moment & they don’t have to be the approval of your parents ( which isn’t self esteem anyway!)
That’s a big step from here, so start small - tomorrow morning do 3 esteemable things - make your own bed, go for a walk in the sunlight & help your parents out with some housework.
Keep that up on Sunday & on Monday try to get to a homeless shelter or something similar you think will be ok - go in person - speak to a staff member.
Keep going to different ones until you start volunteering at one or even two. Make it your mission to get better, you have to want to get better & wanting is entirely in your actions - do much more - think much less!
Wanting to get better is also a daily thing - the desire to get better has to be renewed each day. That may well feel fake & you feel nothing - that doesn’t matter - move your feet (to do esteemable things) and eventually your mind will follow.
After doing esteemable things - reward yourself & distract your mind. An idle mind is not your friend. Right now your mind wants to kill you - so distract it.
Whatever you liked doing before you were depressed, force yourself to do it. PlayStation, sport, reading, learning, anything where you lose track of time.
These actions will help you get through the weeks it will take for you to start to get the right medical care. The medical care, TRT & counselling etc will take some time. Hang in there 