1. When something goes wrong, she takes care of it.

2. When something goes bad, she takes care of it.

3. When something goes false, she takes care of it.

4. When something goes well, she will be happy.

5. When something goes good, she will be happy.

(#1 is correct, isn't it? What about others? Are they grammatcial? Would you check the sentences?)

6. She speakes into the microphone.
6-1. She speaks through the microphone.
6-2. She speaks with the microphone.
6-3. She speaks on the microphone.
6-4. She speaks at the microphone.
(Which ones are correct? Which prepositions can we use?)

1. When something goes wrong, she takes care of it.

This sentence is grammatically correct.

2. When something goes bad, she takes care of it.

This sentence is grammatically correct, but it can be improved. Instead of using "goes bad," it would be more accurate to say "When something goes wrong" or "When something goes awry."

3. When something goes false, she takes care of it.

This sentence is not grammatically correct. Instead of using "goes false," it would be better to say "When something goes wrong" or "When something goes awry."

4. When something goes well, she will be happy.

This sentence is grammatically correct.

5. When something goes good, she will be happy.

This sentence is not grammatically correct. Instead of using "goes good," it would be better to say "When something goes well."

Regarding the second question:

6. She speaks into the microphone.

This sentence is grammatically correct and commonly used. It implies that she is directing her speech towards the microphone.

6-1. She speaks through the microphone.

This sentence is not grammatically incorrect, but it is less commonly used. It can imply that the sound travels through the microphone to reach the intended audience.

6-2. She speaks with the microphone.

This sentence is not grammatically correct. Instead, it would be better to say "She speaks using the microphone" or "She uses the microphone to speak."

6-3. She speaks on the microphone.

This sentence is not grammatically correct. Instead, it would be better to say "She speaks into the microphone" or "She uses the microphone to speak."

6-4. She speaks at the microphone.

This sentence is not grammatically correct. Instead, it would be better to say "She speaks into the microphone" or "She uses the microphone to speak."

In summary, the correct preposition to use when describing someone speaking into a microphone is "into."