Update: tires both in balance. Carbs were in sync. The knock/ping isn't "anything abnormal" for the vt1100 ( I did read of this on other posts). The only rattle was heat shield which they tightened. All fluids were pristine, as should be for only 1400 miles.
It wheels are in balance an got no shim. However, they did ask if I wanted to try ltb ( liquid tire balance). I declined.
At this point I am going to chalk it up to being a newb (although the technically I am not. Just got back into riding after 15 years).
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Squirrely rear-end? Have you checked the pre-load on the shocks? They may be set too low, or one could be set higher than the other...
I had a similar issue on my VT700... found one to be set at 5, and the other was at 2 (doubt the previous owner ever noticed), which caused mixed compression in curves and made the rear-end feel like it was all over the place, especially on right-hand curves/turns.
On my Sabre, the PO had the pre-load too high (on #5), which caused excess stiffness, which translated into rear-end "bounce" in the curves and over rough roads... really an unnerving feeling. Too low will create an odd feeling too... too much compression and you'll feel like you're squishing into the curve too hard, which is also a rear-end wobble feeling.
I'm 165-lbs and run my VT1100 on #2 for one-up riding... #3 for two-up or loaded with touring bags. How you set yours will be trial and error to find what "feels" right for you! Start out by setting them on #1 and take a ride... run the same road on #2, then #3, etc.... when you find the right spot, you'll know it... the bike will feel better in the curves (no more loose rear-end)! Just something to check...
Oh, and tire pressure will also affect the handling... Sorry, just gave you one more thing to think about