I have done my FUT surgery 2 weeks ago. I start playing cricket on 11th day. Is it ok or I should stop playing cricket?

As a medical treatment minoxidil can support facial hair growth, and as a surgical treatment beard transplantation has satisfied results, it can be a good option for you.

There is no reason why you cannot have Scalp MicroPigmentation if you have diabetes (type 1 or 2).  See a doctor for a proper exam and understanding of why you were refused. 

If you are losing lots of hair after a hair transplant surgery it may be shock hair loss. Photo of your hair is not generally helpful.  Seeing your doctor for a follow up exam is the best course of action if you are concerned.

Restoring temple (triangle) area may be challenging for doctors because it may not look natural.  Ask your doctor about their opinion and ask to see former patients and their results.

Normal hair density for an average Caucasian male is about 200 hairs per square centimeter or 1290  hairs per square inch.  (Do the math conversion)

It certainly would be acceptable to wear a wig after FUE/FUT hair transplant. However, you should not wear one until the grafts are "stable" which is typically 10-14 days. Certainly you should discuss this with your doctor as you should follow his or her recommendations for the best result.