Origen, Tetullian, Clement, and while not really a ECF, Augustine. We covered a wide range of topics, and those four are the only ones that stood out. I know that there were more but it has been long enough that I can’t remember which ones we covered in confirmation and which ones we looked at in other classes. While all of the above mentioned do not agree with all of Lutheran theology, they don’t agree with all of Roman Catholic theology either (Clement I believe really didn’t like singing or any type of music, and was very outspoken about it).
Lutheran Theology has a different view of what qualifies as a sacrament than Roman Catholics or Eastern Orthodox do. For it to be a sacrament it has to have been institued by Jesus, use “visible means” like the water in baptism, and convey the forgiveness of sins. I may not be describing that the best.

I think the Orthodox have about 12 sacraments, and I know that the number and defination of Roman Catholic sacraments varied from 5-7 till the time of Aquanis at least.
As far as confirmation being the finishing up of baptism, that is pretty much what Lutherans believe (although probably not as simple as that). It isn’t a sacrament because it wasn’t clearly started by Jesus in the Scriptures, but is a rite, which tends to confuse things even more!
I am not sure, but I seem to remember my grandfather talking about oil in confirmation when he was a boy. The German Lutheran chruches of that time did things a bit different. In the early 1900’s, the American Lutheran churches modified some of the outward signs to be able to “blend in” more. For instance, it used to be very rare to see a crucifix in a Lutheran church, but you are begginning to see that more and more. Also, in the LCMS at least, more attention is being paid to the feasts of the saints and such. The used to just be mentioned in readings, (except for St. Mary, which would bring out the white vestments), and now more effort is being made to at least mention them in the sermons.