You've got a lot of exercises in your workout.
I'd suggest you do not more than 9 core exercises to start especially in the 15s and at least a week into the 10s. You can then pick somemore if you're energized enough in your workouts. Personally, I'd just stay with a core of about 9 exercises throughout the first cycle.
When you do a full body workout every other day you're giving yourself plenty of recovery time, but you'll really start to SAG after a few weeks if you're not giving your body the nutritition it really needs.
I'd suggest a few changes in your exercises as well.
A core group of exercises should be all compounds as possible, so you hit a many muscle groups as possible as indicated by asterisk.
A suggested exercise is written to the right of the asterisk *
Leg Press * Squats / SLDL as alternate
Leg Curls
Calf Raises * Seated or standing
Inclince Bench * use Dumbbells
Dips *
Chins *
Seated Row * Standand bent over rows
Rear Lat Raises
BB Bi Curls * Hammer curls
Shrugs
Shoulder Press * Military type press
Lying Tricep Ext. * Skullcrushers good alternate
Preachers
Upright Rows
Tri-Pulldowns
It might be helpful to remember "Rome was not built in a day".
You need to build a strong core body to be effective with most isolation exercises. The body has a way of doing it's proportional growth thing, i.e. big arms come with a big upper torso.
Good luck!