Hey man that engine looks like its got some wear, but all in all good, clutch looks great. First off have you read through a few of the 350F build threads on here> Not the most popular bike on here, but some of us love them!
My personal build-http://forums.sohc4.net/index.php?topic=133079.0
Hoodelyhoo-http://forums.sohc4.net/index.php?topic=20822.0
Also do a search for MATT350F he has a good thread as well.
1. Buy a few cans of degreaser.
2. Replace those screws with stripped out and messed with heads. No questions asked
3. Your Oil Pump Area very well may have a leak but remember the bike is 40 years old, They all seem to have buildup there.
4. That bolt looks to be your oil pressure sending unit, when your oil gets low that triggers the oil light on your dash, as long as its not leaking I would imagine its ok, my was leaking and I replaced it 2k miles ago.
5. Your stator is bad with all that rust yes, But in order to charge your battery properly I would hit that sucker with some Wd40 and 000 steel wool. Get that thing clean.
6. Your clutch cover still has bits of gaskets on the rim, if they are stuck to it don't use a razor blade to remove it, You can actually cut into the metal forming a slit and then a leak.....ask me how I Know......
7. Yes your clutch basket sits in the oil you put in the engine so it should be wet.
8. Your drive sprocket looks a little worn, Keep a eye on that and consider replacing it. Dont wanna throw a chain through those nice covers.
Looks like a good start and a great candidate for a cafe! Keep this thread going and ask plenty of questions. These guys are super nice and beyond helpful. Hope to see some progress soon! Good luck!