Amana self cleaning gas oven and the code f-4 shows when you turn on the oven

Here is the manual for that unit.

Hi, F2 error code on the Amana Oven means "Oven too hot" You have to replace Oven temperature sensor to fix it.
F3 error code means "Open or shorted oven temperature sensor". Yo also have to replace Oven temperature sensor to fix it.

Summarily, both code has to do with the temperature sensor which you need to replace...

Probably a bad door lock solenoid. That is some kind of door lock problem. Trouble is they are not all the same. This training manual shows locations of model number. Perhaps if you post that I might can come up with a tech sheet and you would get a better answer. see page 4

If you need further help, reach me via phone at https://www.6ya.com/expert/dan_73bbd84fe1d95b61

Here is an older manual with instructions on self clean and everything else. Hope it helps!
http://shop.amana.com/assets/pdfs/literature/30946503.PDF

my amana self cleaning oven was in storage for 2 yrs. Hooked it up and all burners work and broiler but oven won't kick on.

While using the self clean feature you burned out the oven temp sensor.
Replace the oven temp sensor.
Do not use self clean on any oven unless you want to replace parts,

most common issue wsith these gas wall ovens is faulty ignitors, i would reccomnd replaing the ignitor(s). that being said i wouuld also reccomned a servicer with experience on this model for they can be a more tricky then ohter ranges out there, and the possiblity of "shorting out" adddiont al parts is higher on this model! and no one is currently producing a double self cleaning, full sized gas wall oven, so id hate to see you ruin this one!!!

it should be fully automatic

My oven was locked and would not open. No lock light was on but the oven was clearly locked. F9 error when I hit certain buttons.

Try this. I unplugged the oven for about 5 minutes. Plugged back in. A LOCK light came on. Held down "Oven Cancel" for a few seconds. Door opened and lock light went off. No more F9 error when I hit those buttons.

Can you locate the model number on the oven? Also any particular name of the stove? The manufactured year. These should all be available on a stainless steel or aluminum attached plate , probably on the back of the stove or inside the door.
I wouldn't try using the self cleaning feature until we get some advice. it could lock up on you and not UNLOCK. Normally self cleaning takes place at 600 or more degrees .

I'm sure others still have the same stove., I will see what I can find for you.