1: The speedometer on occasions stop working ands just sits at zero.>>>
Likely the Vehicle Speed Sensor. The VSS is a commonly replaced part on 5th gen Accords.
2: The car would sometime shut off while driving, this has happen about 4 times but would just start right back up>>>
Possibly the distributor. Any records of a previous tune-up? At only 87k miles, the car may still retain the original spark plugs/wires and distributor/cap/rotor. Might also be the ignition switch.
3: The RPM needle would jump to about 3500 - 4K rpm really fast if you just tap on the gas pedal and settle down after that, sometimes it would drop really fast as if the car would shut off when making a sudden stop>>>
This is also likely to be related to a failing distributor.