Even though you have an Accord, and not a Civic, perform the tests, outlined in sections A and B, in the link below:
http://www.askmehelpdesk.com/cars-tr...ics-46563.html
Let me know the results.
If the Ignition Control Module (igniter) and coil haven't been replaced, I would do so. They are very problematic on older Hondas. MAP sensor failure is not common on these cars. 90% of "crank but won't start" situations are electrical-related, not fuel. However, make sure the fuel filter has been replaced in the last 60,000 miles or 4 years.