No, your followers won't able to see what you see or search on Instagram. Moreover you can like any uploads, and search your liked page ,people and your follower's won't able to see your path. My humble suggestion to you please see the private and security policy of Instagram you get more information about their products. Enjoy :)
Data limits. Data collection limit. Every user interaction can be sent to Analytics as an individual hit, including (but not limited to) each pageview, screenview, event, and ecommerce transaction. As a result, a single session can result in many hits.
To put it another way, a collection account can remain on your credit reports for 7 years from the date the original account became 180 days past due, regardless of whether the account has a $0 balance.