No the cover and seal are separate.
Manual says to clean everything after you remove old cover, apply Loctite sealer to cover (as opposed to using a gasket I guess). Install cover without seal, then use special tool 9100 to install seal leaving approx 1mm of the seal protruding from the cover.
Since the seal looks intact would it be unwise to just clean it up a bit and try to torque down the cover bolts to maybe slow the leaking? I would really like to get my car back together