Relevant quote from Mitch Hedberg (comedian):
"I used to do drugs. I still do, but I used to, too."
Or in a context. "Yes, i had a mother and a father, but they didnt care much about me", for instance
Thank you, Captain Obvious. Only Adam and Eve could not truthfully say that.
'Did have' should also be correct for 'tive', though it has more emphasis than the direct translation 'had'. If it were a negative sentence, 'não tive' would be translated as 'did not have'.