Your score of a 770 is definitely inflated but still VERY good! I would take off approximately 5-10 points of your score for each question you recognized. There are 3 reasons for this. First, you got a question right that you may not have. Second, you didn't spend as much time on that questions as you would have on another, so it gave you extra time to finish the other questions. Third, it boosted you into harder questions (since this is an adaptive test) when you may not deserve to be there. But still, GREAT job.
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1) Since, I usually finish Quant in an hour, can i take extended break of 15min + 8min? If I select answer to the last Quant question(37th), would it be submitted?
This is actually incorrect. You will NOT get extra time on your break if you have extra time after a section. Once answering your last question and choosing that you'd like to take your 8 minute break, you get exactly 8 minutes before your next section starts. Buuuut, that being said, you can sit at your testing station for that extra 15 minutes if you'd like to give your mind a break. You can relax, put your head down, or just stretch out yoru muscles. But you will only get about 7-8 minutes at your locker (where food and drink is) and NO more.
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2) Am I allowed to drink coffee etc during break time? I think so, but wanted to confirm. Drinking coffee is really important for me; if it's allowed, does cold coffee works as good as hot - not sure you would know such things, but no harm in asking.
You are allowed to drink coffee during your breaks, but they will not provide it for you. If drinking coffee is important to you I would recommend making coffee the night before and bringing it with you (cold) so that you can have it on your break. BUt remember, you will only have 8 minutes, and probably only 6-7 so you can get back to your test on time!! Coffee will still make you feel the same way cold or hot. You just won't get to enjoy it the same way your used to. Just remember though, if you drink a lot before the last section, it may make you need to use the restroom. You don't want that to distract you. I also don't recommend drinking coffee on test day unless you've practiced this on tests before. Sometimes the coffee can make you jittery, and not be able to concentrate if you don't drink coffee often. It sounds like this will not be the case for you. But for me personally I could not drink coffee on test day.
Congrats on your 770 test score! I definitely think you could score 750+ on test day! So get a good nights rest, and earn the score you deserve. Good luck!