Is the growth normal for 5 months and two weeks? I still have patches of no growth. (photo)

It can be frustrating waiting for your result to fully mature. But in real time your transplanted hair has only been growing for a few months at best at this stage. It will take much longer to fully mature and you achieve the final growth from your hair transplant. You need to also consider your expectations and what was discussed with your Doctor. Aspects such as the hair coverage and the distribution of the grafts. Resulting in what type of hair density will be achieved when fully grown out. 

You should keep waiting until the 8 month mark to get a good idea. The transplant always "works" it is a question on how much improvement over the previous and what percentage of the grafts implanted "take". Wait for 8 months then post before and afters and evaluate the results yourself and with your surgeon.