iPhone 6s Plus shuts down randomly and hot home button

My iPhone 6s Plus has shut down randomly, 4x now, since I've received it on 9/25. The home button gets very warm, unusually hot even, when trying to restart the phone after it shuts off. It takes a few tries before it turns back on and for the home button to cool off. I paid $900+ after taxes for this latest and greatest iteration of the iPhone 6s Plus 64gb. My iPhone 6 Plus (sitting in my drawer) and previous iPhones didn't have this issue.

Very poor consumer experience for approx. a $1000 phone. Very dissatisfied.

btw - in the [Select a Category] section when submitting a question, iPhone 6s or iPhone 6s Plus isnt even an option. Y'all need to update your site for a better user experience.