My TCL roku tv boots into an apparently frozen home screen, any tips on how to fix?

Once you're in a channel/app, does the remote work properly?  To rule out some kind of strange remote problem you might want to take the batteries out of the remote (if possible) and use the Roku app on your phone as a remote.

Roku Mobile App - Free for iOS® or Android™ | Roku

The random rebooting would have me concerned, but if you can't navigate the menus to check for updates you'd have to try the USB drive update approach.

How to use USB to update your unconnected Roku TV™ | Official Roku Support