Header and Footer script plugins

I’m using WP Lighthouse theme and have noticed that for some reason that no header and footer plugins work properly in this theme. Is there a reason why?
Ive put google analytics in there and that seems to work but when I try to put google tag manager and facebook messager codes they dont show up in the page source code or show up on the website at all. Is this a problem with the plugin or the theme? I think its the theme as when I installed other themes they looked like they were working. If its a compatability issue is there a header and footer plugin that is compatible with this theme?

The page I need help with: [log in to see the link]