Is it possible to use my Pentax K-mount lenses from my film camera with the new Pentax digital SLR?

or any other digital SLR?

with the AF lenses or the manual 'A' series (green 'A' on aperture collar of lens) you are full featured (except for AF on the manual lenses). If your lens is not an A series then you still have stop down metering. With a <$20 adapter you can even use M42 (S eries)/screw mount lenses with stop sown metering

Yeah. Pentax made their mounts so any K-bayonet lens will fit any Pentax camera. Obviously, you have to have an autofocus lens for the autofocus feature to work, but yeah, it will fit on your D-SLR.

Yup.