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.
Daily limitâThe maximum number permitted to be taken by one person in 1 day during the open season. Field possession limitâThe maximum number of legally taken wildlife of a species which a person may legally possess or transport between the place of taking and the personâs permanent place of residence. Season limitsâThe maximum number of wildlife which may be taken during a designated open season or license year.