I had some autumn sown carrots and they started to get rather hairy covered in a layer of rather fine roots. By the time they flower they tend to get rather tough and stringy. They can add something to a stew.
I would try and find something to eat them a guinea pig, rabbit, pig or horse perhaps will enjoy them.
A new packet of seeds sown now will hopefully produce better results. I would put them on damp kitchen roll on a plate and put in a plastic bag for three or four days (or more keep checking) on a non sunny windowsill until you see the first tiny signs of a white root and then sow them rather carefully shaking them off the paper and covering them by watering. Carrots can be a bit fickle so if nothing happens try again,