We are staying in St Helier, across the road from the Howard Davies Park
Personally I would always hire a car wherever i go especially with the additional hassle nowadays but buses are plentiful and reliable
East - From HDP (definitely worth grabbing some sandwiches and taking in the scenery around this park) you are closer to the eastern side of the island and would head to Green Island Beach and then further east takes you to Gorey castle and long sandy beach which is a picturesque setting and has one of the biggest tidal movements in the world and you can see houses in France in the distance. Gorey Pier got some lovely restaurants/pubs as well
North - Rocky coastal line and farmer territory but very scenic - lovely old pubs dotted around and you can still hear the mutterings of Jersey/French spoken in some by the old boys - quite a few Neolithic settlements dotted around and lots of tea houses as well serving everything with lashings of Jersey cream . Take a walk to Devils hole and great historic pub the priory Inn is there
West - Surf territory - 5 mile beach is one long stretch of surf hangouts and great to get a few pints seeing them do their stuff out there with a good swell on the go. German fortifications set up in preparation for the British invasion can be seen along the beach wall
South - Brings you back towards St Helier but worth checking out Portelet beach and St Brelades bay which is the more to be seen at beach is - St Aubins beach area is also very nice and quite a bot of Beregerac was filmed there. Worth visiting German underground hospital for a trip back in time when the island was occupied
St Helier - pubs and restaurants galore as its the financial center - trip to Elizabeth castle is worth doing as this gets surrounded by the sea at full tide
My favourite pubs - Portelet Inn - sublime views after a day on the beach - Smugglers Inn near St Brelades - St Mary's country Inn and if you are in town and want a place that specialises in pints of scrumpy go to the Lamplighter - trip back in time!
Enjoy you can't go wrong unless it's pissing down