Our suggestions for some further exploration

Bars,Restaurants:

Kohvik Tops, Soo 15. 

Hell Hunt, Pikk 39. Good cheap food and drinks, loved by locals and visitors alike. Try their house cider.

Kompressor Pub, Rataskaevu 3. Tasty pancakes.

Garlic restaurant Balthasar, Raekoja plats 11. Garlic in every course including dessert. 

Telliskivi creative city, Good choice of restaurants and bars, Estonian design shops, places to hang out in the evenings.