From: Georgetown, Texas, USA
You should not use Remain on Station. It orders a TF to stay put.
If you want a Tf to cover landings, give it a patrol zone (either one point at the landing site or two-three points around the site) and set it to react. Smaller react is better in this case.
Remain on Station used to mean patrol in WITP but it no longers works that way in AE. AE has hex-by-hex movement and the ability to set specific patrol zones.
Reaction will override all other orders (remain on station, follow, patrol, waypoints). Except for remain on station, the TF will react and then resume it's follow/patrol/waypoints. Reaction, of course, is only to detected enemy TFs. Some recon is always a good idea.
Always consider the main mission of a TF. Setting reaction for a TF with a covering mission can be very bad, as it could react away from the TF it is supposed to protect.
Lots of functions and options - takes a while to learn to use them all. For a surface TF that is supposed to cover a landing:
1. Surface TF should be ordered to move to the landing site, with a patrol zone that includes the landing site. You could also use remain on station without reaction.
2. Set the amphib TF to follow the surface TF at range 0.
3. Depending on conditions, you could then allow the amphib TF to retire independently or change the orders of the two TFs to have them withdraw together.