I tried to remove the shadow from the launcher using this answer as a guide. After doing so, I logged out to check whether or not I've succeeded (this was not the case, sadly).
However, I noticed a bigger problem: the menu-bar was stuck showing what it was showing during logon as a background. Upon further testing, opening and closing Dash refreshed the menu-bar again, but didn't keep it updated. As you can see in this image, my computer's name is still shown in the top left and whatever the clock was showing during logon, making it mostly ineligible now.
I don't think I changed any settings that could've done it, only edited the files mentioned in the guide with GIMP before the logout.
Update: I tried restarting my laptop. At first, it seemed that my problem was fixed. However, upon further inspection, it was only partially fixed. The background image was still stuck, but the menu-bar was at least not showing the old clock and updated the window name. Until I locked the laptop and unlocked. The clock and computer name from the lock screen were still being shown.
SOLVED: Switching Dash Blur in CompizConfig Settings Manager from "No Blur" to "Active Blur" and "Static Blur, then back to "No Blur" solved this issue.
