Thanks for that. Is it because SMS are encrypted I can't see them on pc? I can go to folder but it's emptySMS/MMS are encrypted and tied to the phone. Unfortunately, unless you can initiate a back up FROM the phone (either to a 3rd party app or to a cloud back up either from your Google Account or if Sony has such a service), there is no easy way to access these. Since you seem to be able to connect to a computer from the phone, I take it just the screen is damaged. If Sony has a PC back up app, you may be able to connect and back up through that. Another option is to connect the phone to a TV using an USB-C to HDMI dongle with support for a mouse connection (I'm assuming the screen won't take input either and the the L4 supports HDMI output; I see conflicting info online on the latter so not really sure). That way you can see the phone's screen on TV and initiate a back up that way.
OK thanks.Correct. All texts and phone call data is not readily available to view (You may be able to see the files if you select to 'unhide' system files on a PC, but the contents are not machine-readable without the encryption key).
If you can't unlock the device because the screen is non-responsive, unfortunately you cannot do any sort of USB control/debugging for obvious security reasons.
At this point your only option is to try the HDMI+Mouse 'hub' (again, not sure if this device supports video output or not) so you can see the screen on a TV and unlock using the mouse to emulate touch input, or to get the screen replaced.