From the picture, the carrier looks ok. The cutouts are are supposed to be there.
If the problem is the shell not being pulled out of the barrel, it could just be dirt build
up in the barrel (chamber). try a good cleaning with a brush.
I can not see the extractor in your picture as the carrier has already lifted past and
would have ejected the casing if it was there. This rifle does not have a bar that
ejects the shell, but uses the upward motion of the carrier to push the casing out of the ejector.
Breaking down the rifle will not show the ejector, as it is on the bolt which will stay closed.
if you pull the action partially back you can see the small hook on the side of the bolt (right hand side).
if it is damaged or missing, that is your problem.