Hey Pooja, Places to visit near Goa : 1) Bondla Wildlife Sanctuary 2)Amboli Hill station 3)Dudhsagar Waterfalls 4)Nersa 5)Vengurla 6)Gokarna Hope this helps.
Calangute Beach
Baga Beach
Basilica Of Bom Jesus
Aguada Fort
Vagator Beach
Shri Mangueshi Temple / Mangeshi Temple
Colva Beach
Se Cathedral
Reis Mogos Fort
Better you explore Goa in feb it is a off season on feb and you will be to explore Goa a that time and if you want to visit any place near by just ask to local people they would definitely help you.
You can definitely explore Gokarna. Also known as Mini-Goa, Gokarna is a small and remote holy town in northern Karnataka, with some of India's best beaches and 50 to 80 km distant from GOA. It draws both pious pilgrims as well as holiday-makers, all displaying equal eagerness. Visit this place to get a feel of Goa.