Hi Olga, sorry for the delay in response. I updated the user info in private.
I looked for any ajax options in the theme and disabled them as they seemed to cause issue. It looks like your team disabled the cache plugin already, although I would like to run a caching engine on the site.
The Mega menu seems to be functioning correctly now so thank you for that.
product and category archives seem to still be acting strangely. https://paste.pics/de637995f26da15d98c56c261a7cf200