Replace the spark plugs and ignition wires. leave the valves alone.

First step - have the check engine light or stored fault codes scanned - for free - at any local auto parts store; Advance Auto, Auto Zone, NAPA. Then, post a reply with the code as 'add answer' for more assistance.

Possible Causes of Engine Hesitation or Stumble:

Dirty fuel injectors (cleaning the injectors often fixes this)
Dirty air filter (change filter)
Dirty / clogged fuel filter (change filter)
Bad MAP (manifold absolute pressure) sensor
Bad TPS (throttle position) sensor
Bad or dirty MAF (mass airflow) sensor
Low fuel pressure (leaky fuel pressure regulator or weak fuel pump)
Vacuum leaks (intake manifold, vacuum hoses, throttle body, EGR valve)
Bad gasoline (fuel contaminated with water or too much alcohol)

Sometimes, what feels like a hesitation is actually ignition misfire rather than lean misfire. The causes of ignition misfire may include:

Dirty or worn spark plugs
Bad plug wires
Weak ignition coil
Wet plug wires

The problem has to be properly diagnosed instead of throwing parts at from the suggestion of an obviously incompetent wannabe mechanic. Diagnosing pre '96 vehicles really separates mechanics from wannabes because you cannot rely completely on codes to assist you if you know how to flash them. Spark plugs is rarely the cause of misfires anymore, it is mostly ignition wires that are the cause. If the wires have not been changed yet I suggest you do. This car uses three ignition coils so if one coil fails the engine runs terrible but still runs.

A 3/4 charge battery is 12.50 volts
A discharge battery is 11.75 volts.
A battery under a cranking load and it is reading less than 7 volts,it will be a recycled battery.

When reporting details about a car "no starting" you have to be explicit about your definition of "not starting". We can't know always whether you mean the engine starter is working (the engine rotates) or whether you mean that when you turn the key you get lights on the dash but then nothing (no start function) - in different words again, this is referred to as a "no crank". Also, it seems that the reason you cleaned the battery terminals was because the car was not starting, right? Your details say *after* cleaning the battery terminals problems began. Please clarify all the information here or I'm out.

It would seem that the battery cables have to be cleaned or replaced.

Trouble Code: P0410

Secondary AIR System Performance

Possible Causes:

AIR solenoid power circuit is open (check the U/H IGN fuse)
AIR pump is damaged or has failed (inspect air pump for water)
AIR system check valves and/or pipes are damaged or leaking
AIR system hoses or lines are damaged, pinched or kinked
Base engine problem (e.g., excessive exhaust back pressure)
PCM has failed
TSB 99-06-04-048 contains a repair procedure for this code.

The following symptoms can be caused by a faulty IAC due to loose connections, bad grounds, high resistance in the circuit, or opens in the circuit.

Related Symptoms

Stalls after start when engine is cold
Stalls after start when engine is hot
Stalling on deceleration
Stalls at idle
Unstable idle
Diesels or runs on after the engine is shut off
High idle
Low idle

There can be many reasons for what you describe, however, it will not get diagnosed just by talking about what it is doing. Those days are gone. Plug in a code reader to the OBD connector under the dash and see if any fault codes are present. That is step one.

The starter is located on the lower right side of the engine by the car. http://www.spobd2.com/

i had many in my shop with a broken rocker arm spark problems headgasket or simply low compression... how many miles on it and does it use coolant at all? when the scan it. was it p0300 with a specific cyl like p0301 p0302 etc ?

well, if you allowed the engine to run dry of oil, then you're looking at a damaged engine. It will cost more to repair than replace. However, symptoms can be that of an air leak into engine (vacuum leak) or fuel pressure issue.

A bad ignition switch can do that. It also might do the same thing if you put the heater blower on or the rear defroster. Any heavy electric load. I have even seen a stallout just by stepping on the brake pedal which lights the rear brake lights.

maybe your alternator is bad or battery autozone or o'reilly can check them for u for free