Sorry - you call it regulator I call it stator - but yes all parts new OEM parts....starts/runs/ does not charge battery correction it is a 44T977 - 0015-g1
Riuxing carb more than likely - one adjustment - uses the larger Pac-man tool - think 5mm....those kits usually have two of these small and large - good luck - sometimes you have to bite the bullet and replace the carb - that one should be about $25