Margie, I would say yes, yes, yes, yes. Right on all counts!
Day light length or strength, and humidity on the cutting make a difference also. Some say phase of the moon when the cutting is taken, not sure on the validity of that, though.
Lots of factors! I've had roses root because I accidentally set a garden gnome on a cane.
Others are so frustratingly difficult that I think if I paid someone to teach me how to bud roses it would be easier.