I had this problem after my phone was submerged in water for 10 minutes, and despite my best efforts to dry it out, the touch screen was still unresponsive. I bought a USB - micro USB OTG (on the go), which you can buy for less than £5 on amazon, and then plugged mouse in to the phone. This allowed me to test whether anything else was broken. It took a while to get the hang of swiping (e.g. to unlock the phone) but you can swipe with the mouse. I was able to make and receive calls, take photos, and connect to WIFI, but my laptop wont recognise the phone for me to transfer the data with a cable. To get around this I just changed my settings in google photos so that all my photos now back up to the cloud. Now I can download them from https://photos.google.com/ Problem solved. Hope this works for you!