I've hit a weight loss plateau after 6 months of successful low carbing. I have normal T3 (liothyronine) and T4 and 0.03 tsh. Could that affect it? I take novotiral

Low TSH = trouble. A TSH of 0.03 is quite low, meaning that the pituitary is sensing that the t4/t3 levels are too high for you, even if "normal". Too much thyroid hormone can lead to weight gain due to increased appetite, lower impulse control, and feeling too tired to exercise. It can also lead to loss of muscle tissue, and a decrease in metabolism. Work with your doc to get the TSH up around 1 for best results.
No. But you need your medication adjusted. A TSH of 0.03 is not healthy and is actually harmful to your heart and bones. Novotiral should be adjusted down. Using thyroid hormone to lose weight is not a good idea.

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Had TSH 0f 7.43 in january. Two mo. Later and no medicine its 5.2. Normal T3 (liothyronine) & t4, no antibodies. Should I take medicine if it consistently goes down?

No. You have normal range t4/t3 without antibodies (i assume to tpo), there is no indication for medication now. Read more...
Not if it normalizes. If lab returns to normal there is no need for medication, but could again become abnormal in the future and needs to be followed at intervals. Luckily, it's not an emergency or life threatening. Read more...

Tsh low but normal T3 (liothyronine) n T4 my endo still suggest ultrasound and iodine 123 is that necessary?

Yes. Your endocrinologist is making sure that you do not have an overactive thyroid which may be caused by a lesion on the thyroid. The ultrasound will look for nodules and the iodine 123 will tell if the nodule is producing excessive hormones. Read more...