Admins on mobile devices no have option to delete pages. There is no link to non-admin features such as "page move".
It should be added.
Note: Delete is possible via accessing the URI https://en.m.wikipedia.beta.wmflabs.org/wiki/Spain?action=delete - we just don't link to it.
Moving page on mobile is possible by accessing Special:MovePage/PageName and it is mobile friendly.
We'll probably want to do move at the same time - since the code in core is related. It shouldn't be any more difficult.