Regarding the URL bar - this is a known issue. Upon initialization, the mobile application attempts to hide the url bar. However, this does not always work, ending up in cases like the one you describe. We are looking into improving this somehow, but I can't provide a concrete timeline for it. Hopefully, it will be fixed in the upcoming service pack.
As for the android problem - this is also a known problem, unfortunately this time with the Android browser itself. The only workaround we can suggest for now is to use the Kendo UI Web DropDownList widget
the Telerik team
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