no you wouldnt they are his debts!
as long as they are in his sole name you have nothing to worry about return them to sender but also write no longer at this address.. also contact the electrol role and inform them because creditors use this to get addresses! change all bills to your sole name. and if the ballifs turn up do not let them in whatever they say because once they are in thats it! just tell them he was violent and you threw him out and that yo9u have no idea where he is but you would love to know as he hea all these debts!
good luck!