Hey Rahul!
get down at Vasco the last stop, go to panjim n book rooms near panjim, explore panjim n church n local market in 1day.. other day go towards Baga calungate,condolium, vagartor beach n from mny place in that belt... n 3rd day return to Vasco n explore d city n than u catch ur train n return back... or 3day cum to madgoan n find dhudsagar trek as it needs a whole day
You are staying at good place. Baga beach is next to this place. Also, you can explore many food options and churches. You can g to anjuna beach and flea market one day which is 9 Kms from there and also you should go to fort and sequerium beach which is around same distance. "please visit Marina shacks and Lao chaos " in Baga beach.
Yes, you can do that just get down to thivim(prior station to madgaon) station while going as it is nearer to calangute. In North do visit anjuna beach and flea market. if you want to do watersports then go to vagator beach as it is less crowded than baga and calangute. if you want to visit famous spots like old Goa church, Dona Paula etc. contact your hotel, there are private buses available with mere 300 400 charges per person,will take you to some 6 7 spots in a day all around panjim.