Won't start. plenty of juice. Won't start, even with a jump. Very rapid clicking and all dash lights strong.

Sounds like your alternator isn't working

The pcm is exposed to the battery at all times. You might see if you can get a used pcm at the salvage yard.

Check batry terminals are secure & free from corosion, check security of earth strap to engine & main power wire on starter, if ok have the batry load tested to ensure it can perform under load as the starter needs a lot of current. Have you tried a jump start?

A battery can show 12 volts yet still be dead (not pushing any amps). Many battery places or auto parts store will do a free test.

Look and see if it has some kind of an alarm

could be poor connection from battery to battery cable terminal. take off both pos. & neg. battery terminals, clean & reinstall, making sure there is a tight connection. if the cables are loose (even just one) or if the battery cable seems degraded with corrosion, they should be replaced. could also do a load-test on the battery... it should stay strong under load, and shouldn't drop to below 11 volts under load. if it does you have a bad battery, even though it may seem good otherwise.

Sounds like your battery is just too dead, has enough juice to light up the system for a minute but cranking drains it and if it wont charge then deff fried, you could try removing the battery and starting the car with cables to confirm the starter still works. If a bettery is too dead then when you are jumping it, it takes to much of the power just trying to get through the battery.

If your positive that the battery is fully charged and has been load tested,, then your ignition switch may be bad, if the relay is clicking that would mean its getting juice, I would strongly suggest that you have the battery checked,, with all those new parts,, it all leads back to the battery not carrying the amps it needs , if the click is heard at the starter relay

sounds like you are on the right track, the battery you have in it has done well to last that long but it sounds like a fell cells have decided to call it quits

starter wont click because there's not enough "juice" to turn it over. this isnt because of the battery as you have just replaced it. it is due to a bad alternator recharging the battery as you drive. if it were only a fuse it would be the solenoid in the starter. but if it had started after you installed the battery then its not the solenoid. solution: buy a refurbished alternator and