How to fix drl lights .why do sockets burn up

You can try replacing the relay but this may be a contact issue or a wiring issue. If the contact with the bulb in the socket is not tight, they can heat up like this. Also, if the wiring was damaged or is too thin this can happen as well. Make sure the bulbs are nice and snug in the socket first. If you prefer to use a shop for this, use this link to find a good one near you. https://repairpal.com/repair-shops Alex

It certainly sounds like a short in harness some place. You will need to have a qualified tech look at it. Could be something simple.