I figured it out a bit.
Thanks for the feedback everybody. It seems (all this in BookView) that when I drop some paragraphs down (by having the cursor at the indent point, of the first paragraph I want to drop down, and hitting the enter key), the Code view thinks I want line breaks and so puts <p><br /></p> there. And when I put the cursor at the indent point of where I first started from and hit delete to bring the paragraphs back up, the Code changes what was a simple <p> tag to <p><br /></p> and its corresponding closing tag </span><br /></p>. Interestingly, if I want to bring the paragraphs up and keep the cursor at the end of the last line and hit the delete key, all the paragraphs come up and the simple <p> tag is there and life is as it should be and all is well in the Universe.