1/Do you have the same notice about the logo when all 3rd party plugins are disabled? Maybe, some settings, of a plugin on your site, caused the issue, please check.
2/ You need to enable a separate cache for the mobile devices in the cache plugin setting. Or if you don’t want to enable that then disable Mobile header optimization option in Theme Options > General.
One standard license is valid only for 1 project. Running multiple projects on a single license is a copyright violation.