When I was feeling blue during my first semester of college I just told myself it's a phase that'll soon pass, and that devolved into full blown depression pretty quickly. You shouldn't marginalize your feelings, especially if you're at a point where you're still strong enough to do something about it.
The obvious advice is to seek professional help. And don't be afraid to change psychiatrists if you're unhappy with them. My first shrink screwed me out of my parents' money. The second may have saved my life.
From personal experience, I found that the thing that helped most was doing something. Anything. It doesn't have to be studying, or work, or illustrating. Just walk around outside for a bit every morning. If you don't want to go outside, just walk around your room like 10 times. Rearrange your socks in color coordinated order. Unfurl a roll of toilet paper and then roll it back up again, just to prove you can (don't do this, it takes fucking forever, and it doesn't come out looking right and you just feel shitty right back again). I think that feeling of being able to do something, even if it isn't necessarily what you think you should be doing right now, goes a long way to recovering your self worth and confidence.
You mention your friends and boyfriend, but you're forgetting the two people in the world you love you more than anyone. I know it can be embarrassing to share with your parents anything personal, let alone something so hefty, but even despite the million times they've disappointed you throughout your life, they'll come through for you when you need them most.
I was pretty fortunate in my experience. While I was suicidal, I never seriously tried to follow up on the thought, and the depression cleared up after about an year before I even noticed I was getting better. Just don't forget, and forgive the aphorism, that there's light at the end of the tunnel. Unemployment is a serious issue, but everyone gets a job eventually, even if it isn't as quickly as you'd like.
You mention that you're privileged. If you can spare the money, find a tutor for one of the classes giving you trouble. It'll let you focus on your other classes, and clear up your grade problems in no time (not sure how this applies to illustration majors; the point is, don't be afraid to ask for academic help. Even your professors and TAs are generally sympathetic to anyone willing to show up during office hours, and some even outright re-teach you the material if nobody else shows up.)
Life is hard to walk through alone, but I think you'll find most people around you are more than happy to help you out with your situation, and I don't mean just your friends and family. Your college has resources for you. Use them.