Great job getting started! And you are planning really well! I am going to recommend that you get a free account on myfitnesspal.com. You can input your calories and which nutrients you want to track - carbs, protein, fat are recommended. You will want to go heavier on the protein - I will add you as a friend and then send you a message so you will know which percentages to add in. It's hard to get in the protein every day - it takes planning!
That sounds like a great time schedule since you will have eaten 2 hours before your workout.
A protein shake is a great idea to work into your diet!!!
I'll go add you and then look at my notes so I can tell you how to set up your account on myfitnesspal for macronutrients

Beth