Will this workout plan help me reach my goals?

Hi, my name is Nick, and I'm 5'10 and 138 pounds. I plan on starting to workout now. I am skinny, with a small stomach, and want 6 pack abs, and decent biceps, triceps, tzius and shoulders as well. My plan is as follows. Every day I plan on running on my treadmill for 20-30 minutes, then take a short break to regain my breath, then I plan on jumping rope. That is my daily plan for cardiovascular training, to lose fat, as I learned through research that everyone has abs, just that they are covered by a little bit of fat, as you need to get your fat percentage to about 5-7% for your natural abs to show. As for my workout plan, day 1 goes to abs (crunches and other exercises lasting 10 minutes or so) and chest (knuckle push-ups and dumbbell presses laying down and dumbbell fly's (10 minutes as well.) The next day, I plan on exercising the biceps, triceps and forearms, in a variety of different ways like dumbbell curls, hammer curls, dumbbell twists, (forearms) and more. Finally, once per week I plan on working my shoulders and tzius muscles, with different exercises. The question is, is this a good plan? How can it be improved? Am I overworking (for a beginner, but I am athletic)? Can I or how long will it take for me to see my 6 pack abs? And any other exercise recommendations using dumbbell only would be an added bonus (for me, not necessary.) Thank you for your time, and please leave detailed answers. Sorry if I used improper terminology as I am not very experienced with this stuff, I just educated myself off of youtube (kind of pathetic right?)