Small Aircraft; High Wing; 1 Eng; Fixed Gear
Flight Crew Multiengine; Flight Crew Instrument; Flight Crew Flight Instructor; Flight Crew Air Transport Pilot (ATP)
Flight Crew Last 90 Days 60; Flight Crew Total 12000; Flight Crew Type 6000
Communication Breakdown; Confusion
Conflict NMAC
Flight Crew Took Evasive Action; Flight Crew Executed Go Around / Missed Approach
Staffing; Human Factors; Environment - Non Weather Related
I was doing an FAA check ride acting as a pilot examiner with the applicant on board for a Commercial Airplane Single Engine Land rating in Aircraft X on Right downwind for [Runway] XXL at ZZZ.  The time was approximately XA:15PM. The Tower closed at XA:00 so the airspace was G.There were approximately 6 planes in the pattern.Aircraft Y reported he was on a VFR PRACTICE LDA approach for [Runway] YYR. Everyone in the traffic pattern was in Right traffic or left traffic for XXL (reciprocal of YYR ).Several planes in the pattern advised Aircraft Y that the runway in use was XX left/right traffic. Aircraft Y still continued inbound on the LDA approach for YYR again aircraft in the pattern advised Aircraft Y right traffic for XXL.As I was turning from base to final for XXL Aircraft Y stated he would be making a climbing left turn at the threshold of YYR. I was now on short final doing a go-around climbing to 200 feet when I heard Aircraft Y now state he  would be doing a straight out departure on YYR which was now flying opposite the traffic pattern.  I looked down the runway and saw Aircraft Y flying head on right towards me. I descended and he flew directly over me approx 300 feet above me.He then made a climbing right turn and in the process came within 100 feet of another aircraft; also in the pattern. The pilot of Aircraft Y stated over the radio what he did was correct and had tapes to prove it.  He then flew Northbound against the traffic pattern leaving the area.
Pilot reported an NMAC at a closed towered airport.