how does the PLAN CSG's planes avoid or fight past a larger hostile CAP backed by naval SAMs to get within firing range?
If you don't mind, i'll cut out these two, since those are tactical questions, not just technical.
(1)unless something went terribly wrong, strike package will always outnumber CAP
- it's just the nature of initiative.
Expanded CAP can almost match it - but only this much, carriers are not land bases, and are severely limited by deck size.
for other parts - ew & curvature of the Earth shall be able to do the trick.
it's always somewhat tricky to guess if sword or shield has the overall advantage, but all things being equal, it tends to be sword.
how is it advantageous to get within YJ-12/18 range which is still shorter range than ASBM range?
Range isn't the only metric.
first of all, non-hypersonic ASCMs don't immediately rush up, and they don't immediately give up your position at launch.
Secondly, aerodynamic ASCMs can form salvo patterns, in both space and time.
Thirdly, their search envelope is larger - the slower the missile, the better its search capability. ASBM has to be aimed very precisely at calculated point(the more EW and distance, the higher accuracy requirement). No search pattern is possible.
Finally, cruise missiles can easily be coordinated with other aerodynamic assets - planes, decoys, loitering munitions and ARMs. ASBMs can probably be coordinated with SAMs(surface2surface mode) and faster hypersonics, but that's it. And those will hardly allow something overly imaginative.