It could be a problem with your transmitter if both DAB and FM aren't working. You can check your local transmitter here:
https://ukfree.tv/transmitters/locations/DAB
I guess from your postcode it's the Scottish Borders - that page mentions an issue a few weeks ago with the Jedburgh mast, although not radio related.
Sometimes you need to retune to pick up the stations again for your area (odd that it works elsewhere though). You should have an autotune button or something similar, if you haven't tried that.