When you think of the question "Do I have Estonian roots?" you can't just answer with a simple yes or no. As small as it may be, Estonia has plenty of different cultures and people groups, who each have their own traditions of clothing, cuisine, music, and more. South Estonia is home to the Seto and Mulk people as well as the Old Believers around Lake Peipsi. Looking at the coastal cultures of west Estonia, you'll find something unique on Hiiumaa, Muhu, and Kihnu where the islanders have their own distinct cultures.
At the same time, Estonia sits at the crossroads between Eastern Europe, Scandinavia, and the Baltics which have added plenty to the Estonia heritage. You might have an Estonian surname, many of which have meanings connected to nature like Kask (birch), Kukk (rooster), Ilves (lynx), Rebane (fox), and Pärn (linden), and Tamm (oak). Or maybe you don't have an obviously Estonian surname, a lot of Estonians don't either!