No. Hook everything up so the spring is keeping the e-brake arm fully disengaged. Then tighten up the screw on the cable to take up any slack in the cable, but not let the e-brake arm rotate at all. That's it.
If after doing that, the brake doesn't hold, drive it down the street, stop and engage then release the e-brake. Then drive more and repeat the same process a few times. This process will force the calipers to self adjust.
Then if it's still not tight you can try adjusting the cable again to see if it loosened up during use at all, but the e-brake lever should be against it's stop when it's disengaged.
If after all that the thing still doesn't work, it means you have too much slack in the cable upstream of the e-brake. This could be from a cable sheathing stop moving and allowing the sheathing to shift when you use the e-brake. It could be a damaged cable mount as well. I had a weird intermediate cable system that had some pre-bent parts in it that I had to do the process of using and releasing the e-brake a bunch of times to unbend those parts of the cable and then adjust out the slack again.
Anyway, sorry for the long post. Good luck with it.