30W mobil 1's are close to a 20W. they're typically regarded as too thin for an LS1 by people that have seen oil tests. they are the most frequently used on the LS1, though, simply because the manual says it. while mobil 1 makes i good oil, i'd recommend you step up to mobil 1 0W-40 or 'made in germany' castrol 0W-30. both of these oils are on the mid-high side of a 30W. they will show much less wear than a mobil 1 30W oil, provide better startup protection than a 10W-30 (even though they'll be louder and you'll hear more piston slap til it warms up ~ 1 minute) and they're overall just better oils. i use the 'made in germany' castrol 0W-30. it's only found at autozone and must say 'made in germany' on the back, if you're interested.
honestly, if mobil 1 10W-30 was free, i wouldn't put it in my car. it's just too thin IMO. i'd say give something thicker a shot, you'll see less wear.
and to answer your question about the shavings, i'm not sure

how much metal shavings were in the oil? i never see any in mine, then again i don't inspect. all engines wear during an oil change so there will be SOME shavings, but it shouldn't be a whole lot

i would say it's normal to see some on the drain plug on a 45,000 mile car. it may just be buildup over the years. next time, completely clean the shavings off your drain plug. that way you can see if anymore accumulate on it over the next oil cycle.