[QUOTE=hajario]
Every time I tried it would turn over once but not start.
[/QUOTE]
Unfortunately, “turn over” is widely misunderstood and misused, so we need to clarify our terminology.
Just so you know, “turn over” historically and properly means “crank” - the starter motor rotating the engine with a rhythmic ruh-ruh-ruh sound. But to avoid any possible confusion, let’s not use the term.
So what we need to know is, did the starter ever fail to crank the engine? As in, no “ruh-ruh-ruh” when the key was turned to the “Start” position? Or only cranked for a second or so, or even only one “ruh”? If so, there’s a starting system problem - battery, alternator, starter, ignition switch, or cable/wire connections among those. Given the dying, a poor connection would be the first suspect, followed by a faulty battery, then (very) distantly followed by a bad alternator. Batteries and alternators can have intermittent faults - if they fail a proper test, they’re definitely bad, but if they pass, it’s not 100% certain that they’re good.
Now, if the starter always cranked, there’s an engine performance problem (ignition system or fuel system). The prime suspect is the main relay. Other possibilities, in order of likelihood, include the fuel pump, fuel pump relay, and various electronic ignition parts.
I suspect what you’re describing is not failure to crank, rather the engine sometimes running for an instant after cranking before it dies (sometimes running a bit longer before dying). This fairly screams “main relay.” What bothers me though, is Sears suggesting a starter. That either means it wasn’t cranking for them, or they’re colossal idiots.
But the absolutely key and vital piece of information is, did the engine ever fail to crank, or did it always crank?