So, ship guy here.
It's hard to twist strands together to make rope without the right tool. Basically, rope holds itself together because a reverse twist is put on each strand as it is twisted together, essentially making the strands try to bind to each other as the rope tries to unravel.
If the need comes up for good looking scale rope in any length, there's a great online store called Syren thats sells really great stuff.
https://www.syrenshipmodelcompany.com/miniature-rope.php
For this project, I'd use sewing thread. A good way to control fuzz is to run the thread through candle wax. Of course that's after you color it.
Can't make it lighter, only darker. I've tried tea, coffee and other stains. You could try really thinned enamel paint.
Go dark. Brand new rope looks funny.