Recently drove the 04 Pilot, ran well, parked. A week later, the starter will not engage. Electronics on the dashboard light up. Battery tested, it has a full charge. Posts are clean. The only thing that will not work is the starter. No clicking or any other noise beyond the normal dashboard noises at start up. Car has 330,000 and has always run well for me and the previous owner. Check Engine light has been on, it's the EGR, which is generally not a show-stopper. The Pilot is new to me, so I'm not familiar with basic diagnostics beyond what I have already done. Any suggestions? Your assistance is appreciated.