After all the issues I had fitting the gy eagle f1's. I decided to return to oem tyres. I did a LOT of phoning and searching on the net & I finally found some BS re040's at Two Mills Honda. Got them fitted and immediatley the car felt planted at the rear no more wobbling and weaving.
I came home and while some more searching I found a company in essex (ELITE) had a full set of the re040's for the nsx. So now I have a spare set.
BTW out of interest I compared the side walls by puting my hand inside the rim and moving up and down. I found with a little force the F1's sidewalls flexed by about 1/4 inch pretty normal really. But with much greater force the 040's sidewalls just didnot flex.
I think in my case having oem tyres on the front exacerbated the F1's flexing. It would have been better to have the same tyres front and rear.