Installed battery - to + (Reverse)

Check the 100 amp main fuse

Could be a few issues, why was the tranny replaced? If the old one was failing badly and had any metal bits in the fluid etc, and you reused the same torque converter, that may be part of the problem. Was the system thoroughly flushed out before filling it back up? If not, same issue as torque converter is possible. If a new converter was used, was it filled up before you installed it? After sitting for so long the pump seals could have dried and the pump could be leaking, causing all kinds of problems.

is this part time or AwD
if part time 4wd try ice or dirt.
PT is not for dry pavement.

ive no idea which 4wd transfer case in in this PU>

What was checked/tested ?

Fuel pressure at motor & spark cranking?

Battery seems fine based on what kind of testing?

Won't Start
Won't Turn Over

Have to get your thoughts around what you say

If your able to drive to Autozone,they will check your alternator and battery for free.

Sounds like a cable to the transmission is not adjusted up right, and/or the neutral safety switch is not adjusted right, if this applies to your Toyota Corolla.

COULD HAVE WRONG TYPE LIGHT BULBS.YOUR TRUCK USE COMBINATION LIGHT BULBS.

disconnect negative battery cable.remove upper & lower steering column covers.disconnect switch wiring connector. turn key to acc. release retaining pin through small hole in the side with a paperclip,slide key & cylinder out.re-assemble in reverse order.

Disconnect the battery, then crawl under the truck and locate the starter, remove the plug going to the solenoid (small brown lead w plastic clip) . then the power wire that goes from the battery to the main starter terminal (12 mm nut) locate the 2 starter bolts 14 mm and unbolt the starter and remove. install in reverse order. ON the 4 wheel drives you may need to remove the skid plates over the bottom of the engine to access the starter.

You need an alternator....well unless your belt came off or got very loose. The truck continued to drive because the battery had enough juice left to run the ignition system, but after you shut it off there was no where near enough to turn the engine over or possibly even run the starter. The battery will have to be charged and a new alternator installed.
Hope this helps.