The machine shop just dipped the parts it sounds like. They may have assumed that you would take them apart, clean/inspect. Anyway, too late now.
I always adjusted my valves at .007 and .011 just because they ran a bit quieter and I never had an issue doing it. Over 450 K miles on two of my engines. I did check it when it was really hot once because people said I was crazy. I don't remember the lash but it was good. Ask 10 mechanics, get 10 opinions. Just my personal experience and preference.
I never had an issue with the stock rocker assembly. I did have to replace the adjuster screws on a couple engines.
LCE parts sure won't hurt. Good luck with it. I hope you're trouble free from now on.
Oh, one thing that can bite you on your first run is air in the cooling system. Make SURE you burp it/vent it. Maybe you already know that.
I fill the cooling system slow with the T-stat elbow off the first time just to make sure. Others have their own way. Just make sure it's done.