Well Perihelion, your winter coat might get plenty of use for a few weeks yet! The latest Outlook from the metoffice and they think we might have to wait until mid April for things to start properly warming up 
UK Outlook for Monday 26 Mar 2018 to Wednesday 4 Apr 2018:
There will be sunshine and showers on Monday, though rain is likely to spread in from the west later and through into Tuesday. Sunshine and showers following, these falling as snow over the high ground in the north. For the rest of this period, the weather will remain changeable, with showers and rain at times, interspersed by drier and brighter interludes. Snow may also occur at times, more especially in the north. Temperatures are likely to be rather cold, with a risk of overnight frosts. The Easter weekend is too far away to be confident with any details. The most likely scenario currently is a spell of colder than average weather, with increased likelihood of overnight frosts, and a greater than normal chance of snow showers, especially in the north.
UK Outlook for Thursday 5 Apr 2018 to Thursday 19 Apr 2018:
Colder than average conditions are likely to prevail overall; often showery with fairly light winds, and a continued chance of overnight frosts. Showers could be heavy with hail and thunder at times, but there are also likely to be good spells of sunshine in-between. Showers or longer spells of rain could fall as snow at times, mainly over higher ground and in the north. Any milder, wetter and windier spells are likely to be relatively short lived. Towards the middle of the month, it is possible that we could start to see some warmer temperatures, less cold nights, and it may become drier generally.