False.
They're obligated to teach the class during the allotted periods, mark assessments and provide feedback on them. I don't think they're required to mark draft after draft, which is why I'm so thankful I had the teacher I did.
A little bit of politeness would help. 'Ask'/'Request' your teacher to mark it, they're not your slave. Whilst most good teachers will, I don't think they're required to.
Don't have much time, so will provide you with the greatest hint (for me) with drawing primitives: divide the curve into vertical strips, with a faint line passing through each x-int and TP. Then fill in the blanks =].
Hate to admit it, but my thoughts exactly. Just have fun, play games the night before, turn up and take it seriously on the day. You'll be fine, there's plenty of stressing to come in the coming years, don't worry =P
Maths: Cambridge, Terry Lee.
English: Have your essay marked 10430242 times until it's perfect (or close to) and practice moulding it to various questions.
Physics: Past papers + marking criteria
Chem: See above.
Good luck!