Yea, it looks fine to me. I recommend you take a hydrometer reading, leave it in the bucket for 2-3 weeks (up to a month, but no longer), re-check gravity, then rack or bottle. This will give the yeast some time to clean up and yield a better beer.
The lack of airlock activity is a common complaint, with buckets especially. Looking at your results and seeing initial fermentation has completed, I'd guess the bucket is probably not sealed - first off this will not ruin your beer if this is the case. Gas will escape via the path of least resistance. If there's an imperfection in the lid's lip (underside), if the bung isn't perfect, or if the hole in the lid the bung is snapped into isn't perfect, the CO2 will escape that way instead.