injure vs hurt vs wound

[Daemon99]

Are the following sentences OK?

I injured my knees when I tripped on a banana peel.
I tripped on a banana peel. I got up and saw that my knees were injured.

I hurt my knees when I tripped on a banana peel.
I tripped on a banana peel. I got up and saw that my knees were hurt.

He was mortally wounded in Gulf war.
A bullet hit him and his legs were wounded. (Can wound be used like this?)
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Non-native speaker of English
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I intend to live forever - so far, so good.

[Mister Micawber]

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'Injure' and 'hurt' are often interchangeable, but 'hurt' usually refers only to the pain inflicted, while 'injure' refers to the damage sustained. We are often hurt without sustaining any injury. 'Wound' is used in the case of weapons or weapon-like objects or intentions.
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Native English teacher at Mister Micawber's