I happen to live in East Sussex, So, here's my thoughts, Re-opening closed lines, unless there are now very large communities, along the former route is a non-starter, unless it's to provide an alternative route in the case of landslips, wash outs etc,
Ashford to Hastings, This route, really should be electrified, as an extension to existing 3rd rail and services could be provided by extending the current service that terminates at Hastings, to run to Ashford, then Tonbridge, possibly combining with other services at Tonbridge, that have ran in the opposite direction, so you in effect have a service that splits at Tonbridge, half goes via Ashford, the other going via Hastings, and rejoins, when both units return. by using 4 car EMU's you create more room on those currently served by the 3 car 171's,
Uckfield, again, as much of the route, is already electrified, then a case should be made to extend the 3rd rail to eliminate the un electrified lines in Sussex and Kent,
The Eastbourne avoiding spur, I can only see a case for this, if long distance services ever get re introduced, that do not call at Eastbourne, or for a few limited stop services in the morning rush, to provide a fast direct service to London,