First of all - good luck! A strict and healthy diet along with exercise should go a long way. Keeping good records of what you eat will help a lot. Often when we exercise we end up eating more than...
With no disrespect intended to IC and others, this misinformation pops up frequently and I find it surprising. I'm sure there are a few people out there with anecdotes about diet being king but it's...
I do them once in a while, but chances are you are hitting them enough with other exercises in your workout. Take a look in the mirror. If it looks like you need more work, add in shrugs. Otherwise...
I don't think you're actually doing the Texas method, as it is a 3 days a week program. A volume day, a light day and a heavy day. A detailed writeup can be found in Rippetoe's Practical Programming....
It's a decent routine for strength gains, focusing on one lift. It's fairly intense and I can't go too many weeks before I start getting fatigued and need to rest and switch up the routine.
Looks very good through the important parts of the lift. Don't hyperextend the back at the end - stay upright. Minor point - try getting the but down a bit more and sitting back on your heels.
Stop doing it for a while. After a certain amount of time your body will adapt to the stimulus and it gets extremely hard to get further gains. Take some time off. Switch to a different exercise to...
Leg press is definitely not required. Squat variations are the essential leg exercises. Adding a leg press won't give you anything that you're not targeting already.
There should be plenty of resources out there for diabetics on proper diet. That information should trump anything you pick up from bodybuilding sources.