Right breast has not dropped like left one. Is it because I'm right handed?

Breast do drop at different rates and many attribute it to the dominant side of your body, but there really isn't any way to know for sure. If one breast was looser than the other, this side tends to drop sooner. Continue following your doctors orders. I have seen breast change for up to 6 months after the surgery.

It’s
very normal to notice asymmetry in the breasts during the early stages of
recovery after breast augmentation, and one month after surgery falls into that
category. In right-handed women, the pectorals on the right side of the chest
tend to be stronger and more well-developed. This can mean that it takes longer
for the muscles and tissues surrounding the right implant to soften and allow
settling. The less-used muscles on the left aren’t as resistant, although this
effect is reversed in left-handed women. You’re still several weeks away from
your final results, so continue wearing your compression band and practicing
your massage and you should see your breast symmetry improve as healing
progresses.