Just getting started, is this the right track?

I am female, 55, need to really lose about 100 lbs but my realistic goal is to lose 50, then tackle the rest. I have been at this only 10 days, have lost 5 lbs in that time, much of which is likely water weight. Still, I am already feeling better and seeing a difference in how some of my clothes fit. This is the program I have been following, any tips or suggestions will be welcome. I made my diary public to facilitate. I am eating 1200 calories plus half my cardio calories. In the past I have had success with a 33% carbs/fat/protein goal, but like everyone else I struggle with carbs. I also don't like meat very well, so keeping carbs down and protein up is also a challenge. I weigh and log everything except zero calorie beverages, which is the most hateful part of all this as it's not a natural approach to food prep. I go to the gym 3-4 times per week. I do 20-30 minutes on the treadmill at 3.2mph. (Which I plan to increase gradually). I then do a circuit of the weight machines, about 20 of them, 20 reps on arms at 10-40lbs depending on machine, and 20-50 reps on legs, abs and back, mostly at 100lbs. I finish with 10 minutes on the stationary bike, I only log the cardio. Right after working out I try to eat some protein as I heard that protects your muscles. Some evenings I take the dog for a leisurely 1 mile walk, as he is old and can't handle more than that. It's heartbreaking as he used to be my workout buddy. Anyway, sorry for the long post but i wanted to give you the whole story.