Engraving tool geometry is critical to getting smooth cuts and making tools that respond well to your efforts.
I learned the basics from James Meek's "The Art of Engraving" book and have adapted from the European roots that came from, as well as the Japanese approach. I don't think it matters which tradition you start from, but you must get some basic knowledge and experience to get the tools to do what you want. From there it's practice, practice, practice. Sorry.
It's hard to tell exactly from the photos, but it looks like your design is good but your chisels aren't cutting smoothly. Again it's hard to tell from the photos. Perhaps all you need is more time at it.
The engraving forums have a lot of information but I am not fond of jigs for sharpening which they all seem to find necessary.
This thread may be helpful:
GRAVERS
And the two engraving forums:
Engravers Cafe
and
Engraving Forum
If you want to further polish an engraving cut, I would recommend using machinist polishing stones. You can search for more info on this forum about stones.