What is a cal code on the dic display

Dead Battery

Always try & charge,it is unsafe to jump
a dead battery, as it may have shorted cells

If the engine rotates,turns over,cranks,it is the same thing

To say it won't crank or won't turn over is wrong
That is a no start

1---Engine does turn over,rotates,or cranks

2----Engine is a no start or won't start or won't fire, no iginition

I doubt the service person did anything wrong. In today's cars with both engine and body computers, jump starting a car can be risky.
You're better off having the battery charged for an hour or so then trying to start it.
You may have to have the body computer scanned and possibly flashed to get everything working again. The body computer controls everything you mentioned. It could have lost some of the factory programming when the system was dead.

The voltmeter should only go as high as 14-15 volts when the engine is running. I would check for a poor connection between the battery and starter.

I would say that you need to replace the alternator. The car was running on the batteries power. When you drove the car, it ran the battery completely dead.

The charging system (alternator ) is not working ! Your best bet would be to take it to a qualified repair shop

If you mean key will not turn in ignition,charge or jump start
Car has electronic ignition switch
If battery is low/flat it will not turn

Okay, what you seem to be saying is the battery does not turn over the engine and the battery smokes when you jump it to start it. But the lights and radio and everything works except the car will not turn over by itself. The battery smokes because either the battery has a short in it, it smokes because the starter is dragging, and/or the jump wires are not hooked up red to red and black to black. You need to have the battery and starter checked. If the car runs take it to an autoparts place to test. Or if it won't run take out the battery have it tested and if it is good, then take out the starter to test it.

You need to Check out the Alternator.

you are right, some Honda's have a radio code, most of the time on the radio chassis itself, but like my sisters she had to gone online and give them her VIN and they sent her the code

What was the jump method? NEG to chassis? That should tell you that the ground cables should be suspect - NEG battery to chassis and to engine.