The FIRST thing I do when I get a new carbine is the take my bolt tool, completely strip the bolt, and check all of the above. A bolt tool is a must, if you are serious about thoroughly cleaning the carbine. Pipe cleaners in Hoppe's are great for cleaning firing pin hole and ejector hole.
On the un-messed with Inland, I am running original extractor, plunger, and spring, as well as original ejector and spring to keep it "original." I did replace the recoil spring with a new 10 5/16" USGI one, though, as its was at 10 1/8." The Standard Products mix-master, since it is my duty weapon, I replaced not just recoil spring, but ejector and extractor springs, and put a new USGI Inland extractor. I do not use grease on mine, but do use Breakfree as it is seems to be more viscous.