That is an impressive idea as well as coding. I am really thankful you're willing to put in effort to help me. The last bit of code you posted solved all pagination issues.
The only problems left are the date labels being shown on all posts in "Today" and "Yesterday" (seeing how it works for "the_date" it can't be that bad) and getting different styling for top posts within dates to work. I'll get to solving these problems now. I'll report if it proves to be too difficult. Once again, thank you.