You should be able to watch the rugby at many places:-
Bert's Bar, Bubba's, TGI Fridays, Pablo Donte's, The Ship Inn and possibly Charlie's Bar. all are a maximum of 10 minutes away and most are closer.
In addition to Scary's suggestions, Players Sports Bar in Worthing is also a good place to catch those games.
I'm sure you already know but don't forget that some of England's games kick off at 7am UK time which is 2am in Barbados, all of the places that have already been mentioned are the most likely places to show the Rugby but only if they're open at that time, If not you may have to rely on them showing replays of the games. England v Argentina kicks off at 9:30am which is 4:30am in Barbados.
Most people have now moved from Lucky Horseshoe to Berts. If it's open, that's where the biggest crowds will be. I used to watch at Lucky Horseshoe too but nowadays there's not a lot of atmosphere since the rugby " regulars" moved on. Go early, it'll be jammed.
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