The NYPD released images on Thursday of the wanted suspect, 42-year-old Stephen Charles.
The shooting happened around 1:15 a.m. on Sunday outside a venue on Atlantic Avenue in East New York.
The victim is a kidney transplant recipient and his now-totaled car was his only mode of transportation to his medical appointments.
The assault happened around 5:30 p.m. on Friday along Third Avenue and East 163rd Street in the Morrisania section.
The family shared their story exclusively with Eyewitness News, describing the priceless items that were taken from them.
The burglary happened in the afternoon on Oct. 16 at a home near 160th Street and 84th Drive in Jamaica Hills.