Miller Sound in PA charged me $35 to redo the surround on my speakers call them they are one of the best and they will tell you what to do.
If you want a second source on renewing a speaker contact me via email. I've done dozens of surrounds and there is no problem EXCEPT in the case the cone is ripped or the cone material is otherwise decrepitating. Then reconing is required, along with renewing the surround. Many of the modern materials obviate the need to perform this procedure a second time. Take each case on its own merits as far as what procedure needs be performed. It's usually fairly simple to remove a driver from a cabinet, pack it well and ship it.