I had the same problem, started with screen flickering to finally screen breaking apart due to battery bulging. I spoke to MS and they take this problem VERY SERIOUSLY AND PROMISE TO REPLACE it immediately. The process is ongoing. Please call them.
Here is the email from them:
Hi Mr Raj,
Thank you for your recent contact to Surface Customer Support. We received information regarding an issue you were having with a Surface Pro 4 and the screen detaching from the device. We take these
claims very seriously and want to make sure we can get this resolved for you.
My name is Alicia, and I am reaching out to you from the Microsoft corporate offices regarding the issue you reported.
Thank you for sending in the requested pictures. I have placed an order for a replacement Surface to be sent out to you, and you
should receive an email with the order details soon. You should receive another email with tracking information once the device has shipped.
Due to the nature of the issue with your device, we must collect the device in a specific way. You will be contacted by our collection team sometime soon about pick up of the defective device. Please
keep the device until they can collect it from you. It can take 4-6 weeks to start and complete the collection process, but you can arrange the times that are most convenient for you with the collection team once they have reached out to you. The courier that
will arrange collection will be a third-party company, so please do not be alarmed if they are not directly from Microsoft. Please do not ship the Surface yourself, even if your replacement comes with a prepaid label.
If you have any questions, please feel free to let me know by replying to this email.
Thank you,