access xperia z1 compact with broken screen?

My Xperia Z1 compact runs CM12. Unfortunately it has fallen on its bottom left corner and the touch screen is completely unresponsive. The cost of a replacement screen is more than a new phone with similar specs so I bought a new phone.

Now I am trying to get access to some files that are on the internal SD card (loads of contacts that I don't want to re-type, but also the latest photos).

The phone has Cyanogen recovery on it so I booted into that, and on my computer ran adb:

# adb version

Android Debug Bridge version 1.0.31

but then

# adb devices

List of devices attached 

CB5A24NPRD

offline

which I cannot seem to change. Because I cannot use the touch screen, the only way to control the phone is in recovery mode with the volume and on/off keys. Is the best thing to do just to dismantle it and get the internal SD card? If it is a physical card then that may be the best way to go?