Expressing the idea that something possibly happened in the past

Hi:

Could we use any of these when we want to express the idea that it's possible that something happened in the past?

1. Could have: "Who could have left the stove on?" or "She couldn't have recognised you or would've spoken to you".

2. May have: "Something bad may have happened to them. They are supposed to be here now".

3. Might have: "You did it wrong. It might have been that you weren't listening to the instructions carefully".

4. Must have: "It must have rained last night. The grass is still wet".

What I'd like to know is that if we can use the "negative" and "interrogative" varients or forms of the above forms to express possibilities in the past; to say that something possibly happened or didn't happen before now.

For example:

1.1) Couldn't have done something

1.2) Could someone have done something?

2.1) May not have done something

2.2) May someone have done something?

3.1) Might not have done something

3.2) Might someone have done something?

4.1) Must have done something

4.2) Must someone have done something?

I hope you understand my question. If you don't, please let me know.

Thank you all!