I suggest wasting a roll of film and just practice loading the reels a few times in light. It won't take that many times, and then you'll know how to do it for the rest of your life. I can't really comment on the 1/16 out of parallel, but if you can load the reels OK, they're probably OK. If you have trouble, you probably should return the new one.
I find the hewes 120 reels easy to load, put a little pressure on the film clip so that it can kind of wiggle as you start to roll the film on. I tend to put the tape end -- with the tape -- in the clip, and I cut a little triangle off each corner at that end. It works for me for 20+ years. Play around with the lights on, you'll find something that works for you.