Should the airwing perhaps include F-4s, A-7s, and/or F/A-18s?
Nope. Friedman gives the airwing as 10 F-14A, 12 A-6D/E, 4 E-2C, 10 SH-3A, 8 LAMPS III, 2 KA-6D, & 4 EA-6B.
I wouldn't put it bast the SH-3A being a typo for S-3A, and the early CV-TCBL had a broadly similar airwing except it only listed 7 SH-3H for ASW.
Edit: this is not to say that I wouldn't expect an all F/A-18 airwing eventually, and with 24-36 aircraft, but to start with, we have an idea of her airwing.