After goals from Carl Rook and Liam King for the Lilywhites, Carrington scored Town's final goal in their 3-0 home win over Three Bridges on Saturday.
Also included in the team, managed by Chatham's James Collins, is former Faversham keeper Ben Bridle-Card, now at Sevenoaks.
They are joined by Folkestone's ex-Gillingham defender Callum Davies and Dover attacker Ricky Modeste.
Faversham visit Horsham this Saturday before playing host to Kent rivals Ramsgate.
Updated 22:38 - 15 Apr 2019 by Thomas Reeves