Through his lawyer Dave Allan, Wilson, 52, pleaded guilty to charges of unlawful possession of a shotgun and breaching prison release conditions, however he pleaded not guilty to a charge of presenting a firearm at police officers.
Judge Merelina Burnett convicted Wilson on the two charges and remanded him in custody to reappear in September on the remaining charge.
Meanwhile, Paterson's family are preparing for his funeral which is being held in Ngaruawahia on Thursday.
As well as being a loved son, nephew and friend he was the father of daughter Jazmin.