You will find these sites extremely useful for this :-
The Lost Pubs Project
East London Beer Guide
I've no recollection at all of the Durham Arms. It is shown under E2 as a closed pub.
As I remember the Hare was a Truman's pub and I vaguely recall once playing darts in there. It's listed on the site in E2 with a review by Rex Rattus.
The Duke of Sussex was if I remember rightly a Bass Charrington House before becoming a Shep's house. It is now The Albion and again is on the site in E2 with a review by Pubsignman. I'm fairly certain I visited it as a Bass Charrington pub, but don't remember much, other than it was probably one of the better pubs in E2.
The Rose and Crown was one of the eight East London Young's pubs back in the seventies. The only two that survive as Young's houses are the Prince(ss) Of Wales in Lea Bridge Road E5 and the Queen's Head in Flamborough Street E14. This one, the Royal Standard in E8, the Norfolk Arms in E8 and the Britannia in Barking are all gone. I visited this place an more than one occasion as well as all the other 7 Young's pubs. It was a pretty basic boozer.