Welcome to tsikot.
It may need adjustment or a new handbrake cable if the old one is too stretched already. Best to have your brake system opened, cleaned and checked. Goodyear Servitek along Marcos Highway is okay (although i have not gone there in a very long time).
Since bagong second hand yung sasakyan mo, first have a general service done. Change all your fluids (oil, transmission, coolant, power steering fluids), filters (air, oil and fuel) then check the brakes, suspension, belts and have a tune-up done, including cleaning and tuning of the carburator.