Harrier is not only VTOL, but also could take off like the conventional way, and second before Harrier, INAF have opperated the Carrier. MIG-29K is an operational Ski Jump, arrestor recovery naval fighter Plane, an excellent plane. And the J-15, which you took off from the Ukraine aka Su-33, is now giving you the real bonner, when you realizes that it is the same problem, which Russia is facing with their Su-33, which is Under power and now left that project, and going for the MIG-29K route. Light wt or Heavy wt, what makes the difference, when it won't be able to take off with the much needed weapon load, and till now it could only fly with the A2A armament only.
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