your chain case will be found on the right hand side of the engine compartment mounted on the bulkhead right next to the muffler(unless you have the direct drive models) And 100% goodman on going after the grease fittings!!! You should have 1 on each spindle 1 on each ski pivot. 1 on the jackshaft (behind the secondary clutch) 1 on the steering post(you can only get to it with the air box off and lots of flexibility) and a few on the skid I will snap a couple photos of the 340 I have tore down in my shop here in a few for you to reference