shut down

I have 2004 Oldsmobile Cutlass Ciera v6
recently I fail smog replaced vacuum hose and purchased a new battery (dead battery for driving only on the weekends).
driving on the freeway (down a hill and starting up a smaller) the motor shut off. Still had electrical power.
when the tow truck arrived. we retired to start. nothing, but clicking sound.
The next day the car would try to turn over, but would not start (jumped loud click on 4th attempt)
check-
-oil (low, refilled)
-fuses (all good in fuse box)
-sparkplugs (2-both warn with what seemed to be large gaps, but firing)
-smell of fuel in the plug
- sparkplug wires seemed connected
- cleaned air filter

Any thoughts on why it would not start?

Hmm, does it have spark, do the injectors pulse, do you have fuel pressure, will it start spraying carb cleaner into the intake. All basic diagnostics. I assume the engine cranks sufficiently that a start would be expected?