Media Issues after changing hosts

We recently transferred our WordPress site from one host to another. We have since started experiencing several issues, which I feel might be related to folder permissions, but I’m not entirely sure. Here are some of the issues we are currently experiencing:

– When attempting to update a plugin I receive an ‘update failed’ error message. If I reload the page, the update appears to have updated successfully.
– When attempting to view our Media Library, the status indicator keeps spinning and our media library never appears.
– When attempting to add new media to a blog post, the media will not show up on the blog post.

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