My guess is that the plugin that is triggering the errors above is preventing Photonic from loading. Basically, if you have JS errors, they prevent the rest of the JS from executing, and adversely impact other plugins.
The simplest way is to isolate the bad plugin is to determine where the JS file is located (if you hover over the link to the JS file in the Developer Tools, you will see the location for each of those files).
Another option for you to consider is to switch to the Classic Editor (using the Classic Editor plugin) and use the “Add / Edit Photonic Gallery” button.