@Klinker,
If you run Android 4 and up, Long press of the power button might do a screen shot. Or take a sharp picture with your camera.
I do know for a fact that there's a connection or attempted connection to goodle analytics whenever avast goes out for updates. True on a tablet. True on a PC. But I, too, would need to see real evidence that avast service is doing it all the time.
When I look at avast both under the normal Android Settings > apps no extra service is there.
When I look at apps and details in the GUI of AMS, no non-avast service is there.
Yes, google play service and all those other 6 google things are listed, but they are separate entries, not belonging to avast at all.