On all Barons, an electric motor drives a gearbox which raises and lowers the gear. Nothing hydraulic about it. Gear is held up by uplocks.
If an emergency extension is required, POH says to pull gear motor circuit breaker, put landing gear handle in down position, engage the crank (behind the front seats, on the floor) and wind approximately 50 times. When 3 greens come on, stop cranking (do not wind it tight, you could damage the gearbox) If 3 greens do not come on, continue cranking until tight.
Make sure you stow the handle prior to retracting normally after a practice extension or else you could cause damage.
As for the heater, most Barons have a Janitrol combustion heater located in the the lower part of the nose cone.
Ray