FUE hair transplant exactly a month ago. Accidentally scratched scalp and saw hair graft coming out. Is it my transplant graft?

It is best to ask your surgeon about post operative care as each doctor has their unique regimen.  If you had bleeding then some grafts may have dislodged. There is no way to tell based on a photo.

It is best to ask your surgeon about post operative care as each doctor has their unique regimen.  Dead skin will not affect your results.

It is best to ask your surgeon about post operative care as each doctor has their unique regimen.  Drying your hair or keeping your hair wet has no impact on hair loss or hair growth.

If you are having issues after surgery, especially with "tightness" you should contact your doctor.  There is no way to tell what is going on via Internet.

You cannot tell how many graft were implanted based on photos alone.  If you are concerned, ask your doctor.

It is best to ask your surgeon about post operative care as each doctor has their unique regimen.  You can wear a hair system as long as the grafts are secure.