Argos – Hastings – Opening Hours & Store Details Argos sits at 20-23 Castle Street, approximately a 0.41 mile driving distance east of the centre of Hastings (near to Wellington Square). This store serves the patrons of West Hill, St Leonards Green, Belmont, Old Town, Blacklands, Broomgrove, Hastings Town Centre and High Wickham. Here, on this page, you will find additional information about Argos Hastings, including the hours of opening, location description and direct telephone.