Hello,
I'm searching how to use the module (I never use this interface).
Is it normal that HP logo and grid are present simultaneously?
Yes, for a short time.
If you have other modules available you can test them also.
After first boot you get that defaults loaded or similar text but if setup memory is ok the text should stay away during next boot.
Is there a real time clock, was it keeping up?
Setup memory has obviously different sections for different settings, it's also possible that one part is ok and other part is not.
Real time clock and setup memory are not necessary in the same chip but many times they are.
If you have a serial port interface you can communicate with the scope using a simple terminal or emulator.