When I created a new post, the Add Juicebox Gallery button is missing.
This is certainly a problem but one which I cannot replicate myself.
I've just installed WP-Juicebox v1.5.1.3 under WordPress 5.7.2 and the 'Add Juicebox Gallery' button appears to the right side of the Gutenberg toolbar (next to the 'Preview' and 'Publish' buttons) as expected.
Are you using the built-in Gutenberg editor or the Classic editor a different custom editor?
Maybe you have a plugin which is somehow interfering with WP-Juicebox's functionality.
Try deactivating all your plugins (other than WP-Juicebox) and reactivate them, one-by-one, checking to see if the 'Add Juicebox Gallery' button appears after each one to see if you can find a plugin which is conflicting with WP-Juicebox.
When I view the post, though, it is ignoring the Pro Options and is displaying the Juicebox button in the bottom left corner of the gallery.
This is a sure sign that the update from Juicebox-Lite to Juicebox-Pro has not been successful. (The Juicebox logo does not appear in the lower right corner of any Pro galleries.)
Please try the Upgrading to Juicebox-Pro instructions again, making sure that you use the 'jbcore' folder from the Juicebox-Pro zip file and that you definitely overwrite the existing Lite 'jbcore' folder in the 'plugins/wp-juicebox' directory.
Please let me know how you get on.
Thanks!