It's normal to be depressed as you're miserable at work& ending any relationship (even if it's not working) is always hard; it's a grieving process. You WILL be depressed for awhile, and if you accept that it will pass quicker.
But accepting that DOESN'T mean giving in to it. Looking after your health is important. You should see your doctor and get a clean bill of health. You might have something missing in your diet or need multi vitamins or iron tablets.
Also it's important to cut out junk food like crisps and fatty fried food and alcoholic drinks; they're all full of calories and not good. Eating vegetables and fruit and lots of fresh juices helps. Plus walking. You should maybe walk with some of your girlfriends for support. You can eat chocolate and plain biscuits occasionally but in moderation. Drinking 3 glasses of water with a spoonful of apple cider vinegar mixed in is good for the body also.
You do have to try to find another job. You should ask friends to help you and send out your CV. If you could find other work and get more excercise and eat better, you will feel better and less depressed and less sleepy.
You should go out with friends and have hobbies you enjoy like reading or going to the movies or dancing; whatever you enjoy. This will take your mind off things. Keep a journal and reach out to friends& family for support.
If you're very depressed, you should see a therapist who will help you through this rough patch.
The relationship breakup will be hard to get over; but it's just a matter of time. Once you start changing your life and see a counselor if you need to and change your job and eat better, you will start to feel better. You do need to stop all contact with your boyfriend though so you don't prolong the pain. I guarantee that in 3 months you will feel MUCH better than you do now. In 6 months all this will just be a distant memory.