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.
Average Collection Period. The average collection period is a measurement of the average number of days that it takes a business to collect payments from sales that were made on credit. Businesses of many kinds allow customers to take possession of merchandise right away and then pay later, typically within 30 days.