When I was in St Helier a couple of years ago (for my one and only week long visit to Jersey) one area I discovered in St Helier which I fell in love with was Havre des Pas.
This is on the South East of St Hellier, right on the coast, and it is a lovely area.
There is a small "pier" that sticks out to sea, with a man made outdoor swimming pool built alongside it.
Halfway along the pier is a bar / cafe which would certainly be a differant (and romantic) place for a drink. Sitting right on the end of the pier looking out to sea (and back to the coast) would also be romantic.
If you look at a map it may seem a long walk from the town centre, but it is not really. You just walk from the main bus station to Howard Davis park, then turn right down one of the side roads (say St Clements Road) to the sea front. You can also get to it by walking round the "front" route by the harbour and round the headland (this is probably a quicker route)
Havre Des Pas is a fairly quiet area and I guess few visitors go there, but it is full of lovely old buldings (and a few bars and restaurants).
You can read more about it here
bbc.co.uk/jersey/content/articles/2005/07/06…