It has nothing to do with symthetic oil, other than better stability and having no sludge buildup or other deposits, synthetic oil acts the same inside the engine.
Be suspicious of the fuel filter or fuel pump. If the engine is running well otherwise but only hesitates when you "get on it", it may be a fuel flow problem.
Check the 1989 Honda Accords timing. If the engine has jumped time then the engine will buck and sputter.
There are many reasons why an engine will sputter when revved. There may not be enough fuel getting to the engine, there may not be enough electricity getting through the car, or the computer could be going out.
Yes it can.
Yes
This light has to be reset by the person doing the oil change. It is not automatic when the oil is changed.
They start to sputter,stall and stop running.
Change the plugs at 100,000 miles or earlier if the engine is not performing as it should.
Oil sputter is going to be a normal thing if the oil cap is not on while the engine is running. The engine should never be run with the oil cap open. The engine actually has less compression when the oil cap is open, and this could hurt the engine.
The vacuum system on a vehicle serves many purposes. A cracked air hose could most definitely cause an engine sputter.
Sounds like you have some plug wires hooked up incorrectly.
Weak fuel pump Bad fuel filter
No, the engine doesn't have to be pulled to change the water pump.