Ok, maybe I'll have more luck here instead of resounding silence in the help forum...

Alt and Title attributes in HTML added to the profile are being taken out entirely. So code that I submit to the profile is this: <div class="petsprite" id="pos1" alt="Ame-No-Uzume" title="Ame-No-Uzume"></div>

But the profile spits it out as: <div class="petsprite" id="pos1"></div>

When I bring up the source code in the Edit Profile box, the alt and title items are still there, but it's not rendered at all in the profile proper. Needless to say, this is incredibly annoying, because I'd like to add tooltips of my pet's names on hover. Is this a bug or intentional?

Yes. I just checked the HTML in my section, and the alt and title attributes are present in the code, but hovering over the pets in non-edit mode doesn't show any tooltips. Checking the source of my profile (viewing my profile in view mode and using Inspect Element) shows that the alt and title attributes are missing when the profile is actually being shown to a user.