Valve adjustment needed is a possibility.
if is a fast(constant) ticking sound which increases in speed as you accelerate then that sound most likely will be your lifters. they're not getting proper lubrication.perhaps you should either check and make sure your oil is not low and or concider using a thicker oil. 10/40.
Ignition switch
The 1989 Accord had 120 H.P. The carbureted engine has 98 h.p. while the lx-i has 120.
Remove the muffler
Have your alternator checked
check it while its on and in park
try a tune up plugs rotar dist cap fuel filter and air filter alos chek for a leak inthe vacum line or timing may be out
A continuous thumping noise and floor shaking while driving on a 2000 Honda Accord could mean a loose exhaust system. It could also mean a bent frame or a broken spring.
Check the 1989 Honda Accords timing. If the engine has jumped time then the engine will buck and sputter.
Dirty fuel filter or air filter.
Timing belt
check to see if your car has had the ignition switch recall completed