Stringer to transom reattachment

[Lenny]

Am wondering how I should go about putting my stringers back together at the transom, currently they are cut back 4" from the transom, should I sister the sides of the exisiting pieces to the transom or use the pieces I have saved from cutting them away? Also seeings how the stringers start wider at the bottom than at the top if I do sister ply to each side should I make the ply the same height as the top of the exisiting glass stringers and use foam to fill the space and glass over it all?