How do I unmerge connected paths in Illustrator CS5?

Right, and that's  another problem I'm having. The reason why some strokes are missing is because I used the White Arrow to delete some ovals. But I'm guessing I selected just the stroke of the oval instead of the actual fill path, so it only deleted the strokes and left the fill path alone. Also, the reason why only partial strokes are deleted is because using the White Arrow only allows me to delete anchor points instead of a complete stroke.

So basically that's what it looks like. I selected a stroke using the White Arrow, but it only deleted a partial of the complete stroke. I even tried something else - selecting a stroke with the White Arrow then switching to the Black Arrow to delete it. But still, the results were the same. There's probably another odd thing you could catch from this screenshot that I just noticed as well after zooming in - for some reason, some small sections of the strokes  looks like they're 'cracked' or have been cutted up somehow. I'm not sure how that happened, but it seems like that problem exists in the 'fill sections' also.

I'm not sure if you can see it, but to the right of the highlighted selection I clicked on, there exists some grey 'cracked lines' that almost looks like they've been cutted up with a knife or something. It's just like the same problem with the strokes. I'm not sure how it became like that at all. This problem only seems to exist in the [blue highlighted] group of ovals of the first screenshot I posted in this thread. All the other ovals to the right can all be individually selected, and deleted with just one click. The groups of ovals to the left for some reason are different - I have to delete them through cutted up sections of strokes and fill paths, which can practically take forever. This problem seems way too complicated for me to get.