A Beechcraft Premier One pilot was distracted by a pitch trim failure when intercepting the localizer on an ILS PRM approach. The distraction caused a deviation into the protected area; a directed go-around by ATC and a possible loss of separation with another aircraft when the aircraft climbed above the cleared altitude.

Narrative

Approach Control gave me a heading of 250 degrees and I was instructed to intercept the ILS/PRM crossing the initial fix at 5000. After turning to 250 degrees the pitch trim system on my aircraft became disengaged. At that time the autopilot became disengaged also. I went to reset the pitch trim and had my head down in the cockpit and became distracted. I was going off course to the left and the Approach Controller told me to take up a 360 degree heading and would vector me back around for another approach. On the 360 degree heading; again the Pitch Trim Fail Annunciator came on and I went to reset it again. At that time I had a warning that I was 200 feet high on my altitude; reestablished correct altitude. Another aircraft came on the radio and said that he had gotten a RA from an aircraft. I don't know if it was me or not but am assuming so. The Controller then told me to take up a 070 degree heading and after that everything seemed to work fine. Went on and did the ILS and landing without further incident.