Mike,
You have a fantastic beard. It looks excellent. As far as the direction of the hair growth on the right side, it is nothing to worry about and looks good. My beard hair doesn't grow exactly the same way on both sides either but it makes little difference to the overall beard. I even have a swirl growth pattern on my right side at the base of my neckline but I trim accordingly for it. As your beard gets longer your hairs will establish more of how they lay overall and everything will continue to get denser. Four weeks is still early days for a beard, although yours looks further along because of your amazing density and coverage. Just be patient and try not to worry. Give yourself time to get used to the intricacies of your beard and remember it is still growing and developing. You have come this far, but you need to go a few more weeks to have a better understanding of your beard and what it is capable of. Just for the record, your mustache is still developing too and is still going to become denser yet. Mike, I think you're the only one on this board who doesn't realize how great a beard you have but we are all our own worst critics. Just keep growing and good luck.

We live as though the world was what it should be, to show it what it can be. - Angel (Season Four)