1988 accord will not go into 5 gear
The 1996 is a fifth-generation Accord and the 1999 is a sixth generation Accord. The spindles are not interchangeable. Know that the passenger-side and driver-side spindles are different.
there are four spark plug wires that run to the distributor..the fifth one is the coil wire
This means that the Accord in question is a Hatchback, it has five doors, the hatch door is the fifth door opened at the back of the car. This is to access the storage space in the rear of the car.
I would check the linkage on the unit. If the linkage is worn or damaged that could make it difficult or impossible to get the car into 5th gear even though the transmission is fine.
take tranny apart and replace 5th gear syncro
No, but it could cause higher then average wear on the transmission.
The 1994-96 is the fifth generation of the Honda Accord. The 1994 was only available with a 4 cylinder. You could also get a V6 in the 1996 model. The 1996 Accord underwent a mild facelift with more rounded bumpers, a slightly modified front fascia with new signal lights and rear taillights. It had an overall softer look. The 1996 model also was OBD2 compliant.
Damaged/broken shift forks
It depends on the Honda in question. If it is the Accord, the answer is yes, with the exception of the V6 chassis. Fourth Generation Accords came mostly equipped with the F series which is comparable with F series from the Fifth Generation in size. The only major difference in the US would be the change from OBD1 to OBD2.
the synchronize in the transmission is bad, that why the jumping out of fifth gear
The Honda City has been redesigned five times. The Honda City currently on the market is the fifth generation of Honda Cities.
There are a few things that can cause this. First, plugged cooler lines from the transmission to the cooler, which usually is built into the radiator, or mounted in front of it. Second, plugged transmission cooler. Third, plugged filter in the transmission. Fourth, overloading the transmission. Fifth, if the cooler is in the radiator tank, and the engine is running too hot, it will also prevent it from cooling the transmission.