Sometimes we get lucky after hair transplant surgery and the grafts never fall out. This speeds up the time for a good cosmetic result. I more commonly see this in patients that have a PRP treatment on the day of surgery. The platelets have numerous growth factors and healing factors that seem to increase the chance of grafted hair not falling out as they usually do after surgery.
Postoperative shock loss can happen on occasion, but usually comes back after 3-4 months. High risk patients are females. We really don't know why this happens more commonly in females, but it does. Patients who have higher density of hair and we are placing new hair very close to native hair are also higher risk to have shock loss.
Postoperative redness persists on occasion after transplant surgery. Sometimes it may even last a few months, although that is rare. After 2 weeks I have no problem with patients applying topical solutions. At two weeks there really shouldn't be any danger to the grafts.
Looks as though you will need a modest correction to the hairline. FUE is certainly easier to recover from than FUT. I have many patients that have had FUT and then a subsequent FUE procedure. They always say how much easier the recovery process was with FUE. Curly hair can sometimes be difficult to extract via FUE. The hair can change direction below the skin and make it difficult to get the hair out intact. In my curly hair patients I explain there is a small chance that I won't be able to get the hair out via FUE, and if that happens would they be willing to convert to FUT. Some patients say yes, others say they would rather cancel the procedure. I think that would be unlikely in your case, but its good to know going in.
You have nothing to worry about. That short period of exposure will not cause any harm. As a cosmetic surgeon I am always worried about having new incisions exposed to sunlight. It can make the skin where the incisions are light in color. Your grafts are safe. You may get lucky and have most of them stay and continue growing. Most as you know fall out 2-4 weeks after surgery.