First of all, Please disable your jetpack photon module, all your slider images are loading from jetpack servers.
Please purge all cache ( W3 total cache ) after you had disabled the module Please also clear your browser history.
As for logo missing, there is a block of css code causing it to disappear.
We may have to redo the custom css.
Disable all caching from within your W3 total cache’s settings.
Please copy out all your custom css into a text file and save it.
Gradually add back one block at a time and check your website and see if it’s working properly.
Do not add back those custom css that’s causing issues.
Once you get these sorted out, you can get back to us and we can continue from there.