I'm surprised iA had so many problems although I've always used the P mode myself. Even in iA you can adjust the exposure with the little joystick by accident if you're not careful.
You can correct a lot with postprocessing but you will have lost some detail in areas like the gorilla's back. This is your gorilla picture was with my AutoHDR program - free to download in the signature. Use the 'Natural' preset, turn off the watermark and you should be able to get a decent first correction on lots of pictures without the headache of having to think about what it's doing. If there are any particularly special pictures you might want to have a go manually with paintshop or something - try a gamma correction or curves adjustment.