I have broken my Motorola Moto E 1 Screen I was wondering if I could plug my Phone into a Monitor and a mouse
There is a Chrome plugin called Vysor that I have used successfully in the past when my screen was completely broken and I had to extract my data. I believe it needs USB-debugging to be enabled to install on your device, but it's free so you could give it a shot. (In my case, USB-debugging was enabled before it broke because I make apps)

Once the apk is installed, it mirrors your screen on the pc and you are able to control the phone through there (and make the pattern to unlock with your mouse, or even enter the SIM-pin).