jwcalla, excellent post!
Bananas, it's hard to say from a distance since I don't really know what you're doing, but it sounds like you're doing too much too soon.
You've only just started 6 weeks ago plus ~ 1 1/2 weeks break, and it's your first time ever. Don't follow the other guys since everyone's physiological adaptations differ.
Normally, when someone is starting out, I can spend 2 or 3 weeks with them just building a foundation. Your nervous system has to 'learn' the movements you're performing. Tendons and ligaments have very low vascularization (i.e., very little blood supply) and take much longer to adapt than your muscles will. If you load up on weight too quickly too soon, you might find some soreness between articulations- a result from not giving your tendons and ligaments a chance to 'catch-up' to your muscles.
Building a foundation means, learning correct form and technique for each exercise, starting with 7-10 exercises, performing one to two sets and building up progressively from there. You also need to develop some sort of muscular endurance to sustain the requirements of the loads you're aiming for.
Being tired and feeling dizzy is not something to strive for ('no pain, no gain' approach). This may be an indication that you are doing too much, not resting enough between workouts, or not eating enough to sustain your energy requirements.
In terms of your diet. The ONE best advice I can give you, is to take the next three days and log your nutritional intake. Write down everything you eat, how much of it you eat and when you eat it.
This will give you an idea of how many calories you are taking in. Without knowing this information, you cannot know whether you should eat more, less, or about the same.
At 6 feet 1 in., 175 lbs, your basal metabolic rate (BMR) is about 1910 kcals. To calculate this figure, I have assumed you have a lean factor of "1" (i.e., you have a body fat percentage between 10-14%).
If I assume you have a 'light' to 'moderate' daily activity level, (1.55-1.65), then, your daily caloric requirement will be somewhere between 2950 kcal to 3150 kcal daily.
In terms of protein requirements, a good rule of thumb is to aim for 1 gram of protein per pound. If you weigh 175 lbs, then aim for about 175 g of protein daily (i.e., 700 kcals).
To gain mass, you need to take in more calories than you are expending, otherwise all your efforts in the gym will be less than productive. To add a pound of lean muscle mass, you will need to add ABOUT an extra 2500 kcal, or, about 350 kcal per day.
This means you should be taking in somewhere between 3300 kcal and 3500 kcal daily to support your goals.
If it were me, I would back off the load and plan the next four week cycle using 8-12 reps, mostly at the upper end. I would probably cut out a couple of exercises: you are doing 9 sets of a simple chest exercise (incline/decline/flat, it's the same muscle group).
I would get in and out of the gym quickly and spend more time resting. I'm not sure I understand what you mean by ABC off ABC off, but if you're training push/pull/legs on the same day, then a day off, then push/pull/legs again, this means you're training chest 3x per week- at 9 sets a session- equalling 27 sets for chest a week. If this is the case, then you may not be allowing sufficient recuperation between sessions. Your muscles will only grow with adequate rest and nutrition.
Be patient. You can't increase your reps by 2 each session. It takes time to progress up to it safely and effectively.
One final note. Compared to all the push/pull exercises you've selected, you only have 3 exercises for the legs. You may perhaps be concentrating too much on your upper body and not enough on your lower body. Work all of your muscle groups proportionally. Your legs are important.
Good-luck with your training. I'm sure you'll make the gains you're after with a little bit of time and patience.
Sorry for the length of this post!
Best wishes to you.