Yes - absolutely. You are entitled to 90 days screen breakage warranty as well.
No. You cannot record 4k videos but you can play 4k videos on Honor 8.
During our tests, Honor 8 achieved AnTuTu score of 92,402 points.
Yes, Honor 8 does have LTPS Scratch Resistant (Low Temperature PolySilicon) glass, which is even better than gorilla glass.