Upfront icons disappeared after moving

Hi team!
I've moved a site with Snapshot and Upfront icons disappeared. It's a bit complicated because I did just a database backup, because another plugin couldn't do the job with the database, but the files were extracted and on place. However after restoring the database via Snapshot I've manually transferred themes and plugins to the new location, but the Upfront icons are still not showing.
I've granted support access to the domain. Could you please take a look what's wrong, please?
Another question - I have some custom css in my Spirit child theme. There's an update. If I update the child theme is the custom code going to stay in the .css file? Thanks much in advance!