Add Apps log levels to their count to the logserver's state.

This will ensure that the count will persist even if the logserver is restarted.
It will not persist if the instance is rebooted but that's ok because all logs
will be wiped out when that happens.

BUG=skia:3132

Review URL: https://codereview.chromium.org/725203006
Make Alert Server UI look nicer on mobile

BUG=skia:

Review URL: https://codereview.chromium.org/726193003