Sir, my AEEE rank is 7671 and I preferred ECE Coimbatore Home state quota. I did't get in 1st allotment. is there any chance in 2nd?

Well according to previous years cut off rank analysis which is subjective as cut off ranks change every year depending upon level of difficulty of AEEE , how many candidates appeared having home state quota , applying to coimbatore and how many of them have ranks above 7671 and how many of them opt out of getting ece in round 1, how many seats are vacant in round 1 etc etc, so though i can predict nothing with 100% sureity but there definitely are chances of you getting ece in coimbatore in 2nd round or final rounds as from home state quota cut off ranks generally go upto 10-12k , so yaa you definitely have chances.

Hope for this helps.
All the best