Yes - absolutely. You are entitled to 90 days screen breakage warranty as well.
No. Honor 8 camera does not come with Leica branding.
Yes, you can adjust color temperature in Honor 8.
Yes, Honor 8 does have IR sensor. You can use it as IR remote control with most of appliances, which support basic IR reception.
Honor 8 is having 5.2 Inch screen size.