You can stay 1 nights in panjim and 3 nights in north Goa..In North goa u can enjoy night life . Due to high peak season all most hotels are sold out ....try to book it online ...and u can get bike for rent for sightseeing...
Try to accommodate yourself in cot basis for night stay and hire an vehicle around 200rs. per day.. lots of options are available while you reach at Goa..