Like its Dead

SOURCE: 98 accord wont start. lights flicker in dash and engine wont turn over

Have the battery checked.  You may have heard a fast clicking sound when the lights were flickering, if so it's coming from the starter solenoid.  If the battery is bad, have the voltage regulator and alternator checked also.  A bad voltage regulator or alternator will kill the new battery.    

Try starting with jumper cables, if that works, you can pull the battery out, take it to a auto parts store that will test it for free (most parts stores will do this).  If it's bad, you can put a new battery in and then drive straight to somewhere to have the charging system tested.  

SOURCE: 98 Honda Accord Wont Start

either have a shop scan it for trouble codes or buy a scanner your self at local parts store have OBDII scanner and find out for your self it could be a number of things.

SOURCE: Interior light is not on whrn doors open

Did you check the switch next to the interior light on the roof? Honda's have a switch position that turns off the dome light completely, so it won't work when the doors are opened or not shut tightly. There are 3 positions, dome light on all the time, dome light on only when door is opened, or ajar, and dome light off. I must say, I love Honda's, but I find this switch annoying!

SOURCE: Engine won't start. Dash lights flash rapidly when key turned.

the battery says 12 volts but may be dropping to 4 or 5 under a load...i would suggest jumpstarting the car and see what happens.the battery should read in the high 12 volts and not less than 9.5 under cranking. the dash lights go out on your car when starting,and the alarm will go off ,and disable the ignition if the voltage is too low in cranking the car because the computer will shut it down and activate the anti theft.....check your battery posts are tight. best of luck