Am I burnt-out? Depressed? What are these symptoms of?

I understand your problems. You are probably extremely exhausted every day and feel like doing nothing but doing nothing on your laptop. lol. that sounds a lot like me. this isnt symptoms of depression. all it is are symptoms of lack of interest. you are just getting the "enditis" where you're so close, but getting SOO annoyed. Dont worry. Just keep pushing on, and soon, you will be able to go to the university and study something you like. think of it this way: its good you are taking science so you definitely know what things your into. if you wouldnt have, you may not have known how it feels to take sciences. so dont worry. the end of all this is near. you just need to push on, close the lid of your laptop (as often as you can) and try your hardest. it will be over before you know it. and try going to sleep earlier. sleep is the thing thats going to keep you going through life. literally. :) hope that helped.