The only way past a Tweester is to run right at it and let it throw you forward. This was a complete roadblock for me as a little kid. Nowadays I look forward to the split second I get to see Tweester as I run right past it.
Angry Sun flies about the level chasing you wherever you go. He’s also really really angry. You can take him out with a turtle shell but he’s tough to hit. If you make it to the end of the level you can turn him into a coin by hitting the roulette block.
There is a lot wrong with this video but its worth it to see what I’m talking about.