Disappointingly Cloudy

I got two lamps yesterday from Spencer’s one was blue and the other pink (as seen in photos). The blue one was the last in stock and the pink was the best of the three available. They both don’t look that great so I wanted to clean them up. I’d like to keep the wax color but make it less cloudy. So the first question is how do I do that? The second question is are there any tool recommendations for replacing the bottle cap? Thanks!