Not all spray paints are safe for plastic, but most paints you buy in a hobby store should work. Check the can carefully to make sure it states that it can be used on plastic.
Model glue is appropriate as it is designed to melt the plastic and "weld" the parts together. Super glue is much easier to take apart whereas model glue will not...
It’s not necessary, but some model enthusiasts prefer to prime their projects before painting them. Use a thin coat so you don’t obscure any details. The primer will slightly roughen...