Since upgrading to the 1050 a month ago (prior user of 530, upgraded for bigger screen, but so far the bugs are pretty disappointing), I've had a couple of issues.
1. This has happened 3 times so far. I cannot use any of the physical buttons on the device aside from the power button for hard reboot. I start, and I can use the touch screen to navigate to profile and select course, but then I cannot hit the start button. I can use all of the touch screen capabilities as well as the controls I have mapped to my Di2, but the buttons the the device itself just do not respond. I have fixed this by long pressing the power button to force a reboot (which is the only button press it seems to recognize). This is kind of annoying, but since I essentially only use the button to start the ride, it is not a huge issue.
2. Last weekend the device just rebooted mid ride. It lost a bit of distance while it was rebooting (and invalidated the Strava segment I was on), but then after, I hit start and it resumed recording. However, for the rest of the ride, it did not show any radar alerts. I stated the radar was connected. I rebooted the radar (Garmin Varia) and it correctly notified me it disconnected during the reboot and then reconnected once it powered back up. But it still did not show any radar alerts on the screen. After a few more hours, the Varia battery died, and it gave me first the low radar battery warning and the disconnected message, which indicates it was getting messaged from the radar and the radar was powered, but for some reason was not showing the radar detections on the screen.
The device is up to date and running the latest version of the software.