When you 'boost' a post from your Instagram feed and receive additional likes and comments on this post during the boosted period, these likes and comments will be added to your analytics on Iconosquare as they remain attached to the post after the boosted period is over. However, we can't distinguish between 'organic' and 'paid' likes & comments.
As of 24th April 2018, Instagram is now sending us your Paid Reach & Impressions through the API! Global Reach & Impressions data as of today will include both Paid & Organic Reach. This means that Paid Reach & Impressions will be added to the global KPIs on the Reach page and to the Reach & Impressions History charts, but not yet to your individual post-by-post data.
Soon we'll be able to split these up into two individual metrics, to give you even more insight into how well your marketing strategy is working!