Let’s start with some basics. I’m guessing the hotel modem is not a modem, but a wireless access point with power-over-ethernet. Did the hotel give you instructions on how to connect to it? Can you connect to the hotel’s device with either the Samsung tablet or the iPhone? If you can’t, then getting the Beryl functioning correctly won’t solve the problem completely.
On to the Beryl. I’m unclear what you mean by “I can see the Beryl” “but can’t access 192.168.8.1”. Does that mean you can make the wireless connection to the Beryl? The Beryl is plugged in, lights up, broadcasting the SSIN you normally see, you can connect with the Samsung tablet to that SSIN using the password you normally use? You aren’t connecting to some other device?
If in a browser you can’t access 192.168.8.1, then I would start by finding out what IP address your tablet is getting. You can find out in your tablet’s settings. If it is 192.168.8.xx, good. If it is 169.254.xx.xx, that’s bad, because it means the Beryl isn’t connecting correctly and you will have to reset it to defaults. If it is something else, like 192.168.1.xx, then you need to see what your default gateway is. It may be that you are connected to a different AP, perhaps one that is open and doesn’t require a password.
Start with that.