Keep at it brofessor. Just remember to keep a strict diet, otherwise you'll be fat and strong instead of lean and strong. As for running, try interval running. It's intense but will build up speed and endurance.
For core strength nothing beats a medicine ball and a friend. Look up all the stuff you can do with one. Also good is training on a balance board, it'll make you stabilize which will blast your core. I like doing free form squats on a balance board, really tightens the abs.
I should try squats on the wobble board tomorrow! My regimen got a little bit messed this week so I'm not sure if I should freeform cardio tomorrow or add some other type of training. I might throw in the wobble board exercises since you brought it up.
My diet is pretty strict, and the trainer has already advised that I should do it but treat myself once a week to froyo. And she says you know that I should really go for it, but not too excessively. I can easily do that.
I'm eating 5-6 times a day and portioning. Getting the prots in and packin fiber, veggies, fruit. Let's hope it all works.
Trainer may seem like a waste of money to some, but it all depends on what you actually do with your trainer. Mine was voted the best at the gym, and she really is. She's super cute, super strict, keeps my ass burning but is very very very motivational. She's also accommodating and easy-going. She's given me a whole array of different exercises from drop sets to core workouts to bursts this week, cardio one other week. She's keeping me interested.
Did I also mention that she's super fucking cute?