My results appear different under different lighting, is this normal and will it get better under sunlight? (Photos)

Lighting can make hair (or anything for that matter) look different.  That is why you have candle lit dinners with your date or try on new clothes in dim lit dressing rooms.  Alcohol can also affect your perception. 
It generally takes 6 to 12 months to see full results.  Even then, with the best results, bright sun light may not be your best friend.

I tell my patients to wait a full 8 months to see 80% of the results where the hair has grown to styling length. Then you will be in a better position to make a judgment