As far as attaching your backing to your reel, this is the most popular:
Backing to Fly Reel
I have a different style where I wrap the backing around the reel twice, then make a loop on my left hand fingers, pass the tag through two or three times and then tighten.
As for attaching the line to the backing. I use a nail knot (which requires the tool on the suggested post, but can be done without tool, but a lot harder.
Or loop the line and the backing for a loop to loop connection. This will allowe you to switch out line easily.