[dragoon500ly]

Well, best source material is "The Ships and Aircraft of the U. S. Fleet".

The Second FLEET consists of:
Task Force 20 (Battle Force)
TF 21 (Sea Control and Surveillance Force)
TF 22 (Amphibious Force)
TF 23 (Landing Force)
TF 24 (Anti Submarine Warfare)
TF 25 (Mobile Logistics Support Force)
TF 26 (Patrol Air Force)
TF 28 (Caribbean Contingency Force)

From Atlantic Fleet Command:
TF 134 (Naval Forces Caribbean)
Carrier Group 2 (CV43, CV66 America)
Carrier Group 4 (CV67 John F. Kennedy)
Carrier Group 6 (CV59 Forrestal, CV60 Saratoga)
Carrier Group 8 (CVN 68 Nimitz, CVN 69 Dwight D. Eisenhower)
Naval Air Force:
CV 62 Independence, undergoing SLEP modernization
CVN 71 Theodore Roosevelt, working up
AVT 16 Lexington, training carrier

For a Caribbean (Canal Zone) operation, TF28 would most likely consist of frigates and cutters and possibly, an older destroyer. It would be reinforced by task groups from TF 22,23,24,25 and 26. If the threat has large enough, either a task group from TF 134, or even the entire task force, this would probably consist of a guided missile cruiser, 1-3 guided missile destroyers, a ASW destroyer and 2-3 frigates. The exact force level for TF 134 would be expected to vary wily (depending on what was immediately available and capable of putting to sea.

A Carrier Battle Group would consist of a single carrier, 2-3 guided missile cruisers, 3-4 destroyers, 3-4 frigates and 0-2 nuclear submarines. Escorts would depend on availability and threat level.

Now Independence, during this period, was Pacific Fleet, Carrier Battle Group 5, this would consist of:
Independence with
Carrier Air Wing 5: VF 21 (10 F-14A), VF-154 (10 F-14A), VFA-192
(10 F/A-18C), VFA-195 (10 F/A-18C), VS-115 (14 A-6E), VAQ-136 (4 EA-6B),
VAW-115 (4 E-2C), VS-21 (6 S-3B), HS-12 (5 SH-3H)

Bunker Hill and Mobile Bay (Bunker Hill-class CG)
Hewitt, O`Brien and Fife (Spruance-class DD)
Curts, McClusky, Thach and Rodney M. Davis (Perry-class FFG)

Carrier Battle Group 6 is Atlantic Fleet:
America with
Carrier Air Wing 1:VF-33 (14 F-14A), VMFA-122 (10 F/A-18C), VFA-82 (10
F/A-18C), VFA-86 (10 F/A-18C), VA-85 (16 A-6E), VMAQ-1 (4 EA-6B),
VAW-123 (4 E-2C), VS-32 (6 S-3B), HS-11 (6 SH-3H)
South Carolina (California-class CGN)
Normandy, Monterey (Bunker Hill-class CG)
McDonough (Farragut-class DDG)
Scott (Kidd-class DDG)
John Hancock, Thorn (Spruance-class DD)
Boone, Aunty Fitch, Jesse L. Taylor, Simpson (Perry-class FFG)
Groton, Alexandria (Los Angeles-class SSN)

Hope this helps!