My first question is how to introduce the dat data into GIS. An second, once I introduce it can I use it as a regular raster file and do zonal statistics?
ArcMap does support .DAT files in a certain format. After reading the documentation on your data, I am not sure if that is the format that is supported. With questions like this, I always look into this document.
Envi .dat , AIRSAR .dat files, and USGS .dat files are supported per the document. I am not sure if the UK information follows those specifications.
Once it is added as a raster in ArcMap, you can pursue either way to analyze the data.