<blockquote>Cut myself while removing it too which is always fun.</blockquote>I always get a few finger nicks when doing a refurbish.
<blockquote>Anyway, when I push the tub to the front of the washer it returns to the center. When I push it to the rear it only returns about 7/8th's of the way.</blockquote>That's largely normal behavior. My DD Kenmore lingers quite a bit toward whichever direction I push it if I simply move it and let go. It remains centered when rocked/oscillated around the midpoint. A broken spring would be indicated if there's a definite lean toward a particular direction at all times.
As suggested previously, posting a brief video of the spin on YouTube, if you can do so (maybe both with and without a load), would clarify what exactly is happening and perhaps lead to further suggestions/diagnosis.