Get rid of those horrible bars. Try something like an easton EC-70 with a short reach and shallow drop, without the ramp down angle that lowers the brake hoods.
Measure the height difference between the saddle and the bars. It would be common to be in the 5-10mm or 2-4 inch range. I'm old and still able to handle a 10cm drop.
I sometimes experience pain between the shoulder blades. The solution is neck strengthening exercises. Clasp your hands behind you head, lower your head, then apply pressure with your hands as you move your head up to a vertical position.