Yes absolutely, Hotel Calangaut Central in North Goa where I stayed, was a good experience. since you have the guts of thinking, traveling alone, then no need to advice you for safety concerns. enjoy!!!
Yes...it is safe.. while one must take care of herself by following some safety tips... like avoiding lonely & less visited places, avoid staying at far areas from city centre
Yes, Goa is very safe. You can spend as much time as you want near the beach and you can also go for a walk in the street at night. it is mostly very safe, Just avoid places that are secluded.