Sorry OP, not 'normal' at all, other than that they are within the reference ranges.
TSH 1.65 (0.27-4.2) This looks all right, nice and low, but it doesn't go anywhere towards telling the full story. TSH is a pituitary hormone.
FT4 12.7 (12-22) This is very, very low. If your thyroid was medicated, you'd expect this figure to be in the top 25% of the reference range. Instead, it's sitting at only 7% and this is the storage hormone you need to convert to the active hormone.
FT3 4.4 (3.1-6.8) This is the active hormone. Again, if your thyroid was medicated, you would expect that to relieve your symptoms you would need this to be in the top 25% of the reference range. Your current result is sitting at 35% and the reason this is so much higher in percentage terms than your FT4 result is that your body is already flogging itself to get your FT3 levels up.
A TSH that looks good, but with low in range thyroid hormones indicates that your pituitary gland is not sending the correct signals to your thyroid to produce more hormones. This is called secondary hypothyroidism and is easily treated with thyroxine, same as the other types of hypothyroidism.
Your GP however, may never have heard of it, so you may have to educate him. The good people on the Thyroid UK forum will be able to help you if you post your results there.
Good luck!