Bin the plastic stock,
@PSE Rifle Stocks Multi Purpose is ideal as no modification required to fit the T1x into their T3x stock.
Next is change the plastic magazine well to a metal one.
Picatinny rail is optional, personally don't see the need for it as .22LR is not very effective for killing small game cleanly past 125 yards, so dirrect mount to the 11mm dovetail is ideal.