Updated and works wonderfully! Thanks. (I was worried it would be worse as I've heard from colleagues that IG has been pulling developer API access recently.)
Given the philosophy behind this plugin and your Twitter plugin, I thought I'd take a moment to mention http://www.indiewebcamp.com which is a developer movement to assist people in owning all of their own content/data rather than relying on corporate silos/walled gardens. Your plugins sit squarely in this philosophical area.
There is a suite of related plugins (see http://indiewebcamp.com/wordpress, http://indiewebcamp.com/WordPress/Plugins, and http://indiewebcamp.com/Getting_Started_on_WordPress) that do additional types of similar data import and improved functionality. One particular function you (and your users) may appreciate is some of the plugins in combination with a service at http://brid.gy allow one to backport comments and likes from instagram, twitter, facebook, and google+ onto one's associated post on WordPress. As an example see the comments on: http://boffosocko.com/2016/05/24/55672775/. The combination of the your plugin and some of these allow users to own all of their instagram activity outright.
If you're interested and free this weekend, they're streaming a big annual meeting from Portland http://indiewebcamp.com/2016.