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Thats the ticket mate
Re you supressor, you could talk with one of the advertisers above, DPT, see how much he would charge for a supressor fitted, I think you'll find he'll be quite competitive...

It most certainly will and that in turn may help your grouping
Do what the lads say and get a decent recoil pad fitted, and try the ammo again [ after the shoulder settles down].

Use plugs or...