Just wondering if this is normal or not (just noticed it).. The battery connector (circled in image) is loose and can move back and forth quite a bit..
Yeah, but it requires turning the computer off to check; then we'll forget this thread and end up somewhere else and wonder why we turned the computer off in the first place.
Now I don't know what you define loose as, but I can move it slightly (±.5mm); anymore I'd think it would break.