You did exactly what is wrong to that plot... First you need to mow and rake if possible THEN SPRAY with a broad sprectrum herbicide. THEN wait about two weeks and disk and add lime and fertilizer. You plowed the lime and fertilizer under and most likely will not recieve any benefit from either... Plowing is about the worse thing you can do!!! You most likely plowed up weed/grass seed/spore that has been dormant for who know' s how many years and should expect a great crop of weeds....