Dear Avi, I wanted to thank you for the response and for the ideas you suggested for making my mobile menu working again.
Spoiler: Meanwhile it works again!
I have checked your first suggestion and enabled/disabled the wp_footer hook checkbox in the backend of the plugin which made no difference.
Afterwards I switched off/deactiving plugin after plugin an activated them step by step again which had no effect as well. Only that the burgermenu on my mobile showed up again but when I clicked it no menu opened.
At the end there was an update for one of my three caching plugins available and after having chosen the update manually the mobile menu was working again! The plugin concerned is WP Optimize.
Now, in the backend of WordPress in my dashbord there is an offer for updating to the latest version of the plugin Responsive Menu: Version 4.3.5 is currently installed, they offer me version 4.4.0.
There is a saying: Never change a running system – can you recommend to do the update nevertheless?
Kind Regards
@viadiva