Neurodoc:
So your first concern is about resting between sets of NROLFW.
Are you resting 60 seconds in between each set of exercises?
That is you are squatting for 15 reps, resting for 60 seconds, and then going back to do your second set of squatting for 15 reps. Then resting 60 seconds.
If you are, then you are doing the program correctly. Please don't think that you are supposed to do each set back to back without a rest. Only Nelie, Cheryl, or Mel, our resident CrossFitters would do that.
Why do we rest between sets? We have too.
Lifting is anaerobic. That is, our bodies rely on fuel stored in the muscle to complete the task instead of oxygen. Generally it takes about 30-90 seconds to tap out that fuel source. Fortunately, that's about how long it takes to complete a set too. We then have to set the weight back down, take a minute and then resume. Lifting relies upon the same fuel source as sprinting. How long could you sprint (not just run or jog but go all out...?) Same fuel source.
So what I'm leading up to here is that there
is a brief rest between sets. It's been a couple of years since I've done NROLFW however, I still use many of the exercises in my routines. I rest between sets. If I want to challenge myself, I'll keep the rest down to 20 to 30 seconds. When I am training at my best I may superset with a brief rest of about 10 to 15 seconds but not on a regular basis.
Now. What really concerns me is the dizziness you have. May want to have your blood pressure checked. Weight lifting does tend to spike the blood pressure.
There may also be other causes to this so if anyone has other suggestions please share. I would contact a physician just that have things checked out and explain what's happening when you are exercising. I've felt dizzy when I was underfed, underhydrated or coming down with a cold. But seriously, get that checked out.
Also, what happens when you scale back the weight you are using just a little? Is there any difference in your ability to recover from the set? Do you still feel dizzy?
Oh Gosh, I forgot the other part of your question. Thanks Sacha. I may also suggest that in your quest to build upper body strength consider doing short sets of shoulder presses, lat pull downs, and rows with a heavier weight. That is, select a weight that will fatigue your muscles by the 6th rep instead of the 12 or 15th rep. I would aim for one set the first week, two sets for two to three weeks and if you can, three sets by week four to six.(All with rests of course) Grip strength can also be improved through the farmer's walk as well. Oh and PUSHUPS! PUSHUPS PUSHUPS AND MORE PUSHUPS. Great for increasing upper body and core strength/endurance. Kind of a two for one.
Good luck!