Hello,
New groups are not automatically added to your dials page - but you can add them manually through "Edit dial" window - select "Link to existing group:".
If you have more questions, feel free to ask me to my support e-mail.

Best regards,
Juraj Mäsiar

Hello,
There is plan to support android as well. But until then, you can use on your phone the cloud-dials page:
https://group-speed-dial.fastaddons.com/dials
It's not editable, but it works in every browser, including IE. And it's free.

Best regards,
Juraj Mäsiar