Hi ute long time no see.
You are right China probably indeed has the capability of performing all the missions you outline. The question though, to all those that fret over a potential China threat, is does China have the desire and need to implement such strategies as policy?
Personally I doubt it as clearly the PRC operates in a different way to the US and does not lead its foreign policy through its military.
Indeed if you read the Opinion pieces in the Chinese media these days, much talk is about the end of traditional warfare and of ideological conflicts as historic relics of the 20th century, which are as obsolete and ineffective as are the Imperialist policies of the 19th.