1. They can offer skewed or biased view of events.

2. They can offer skewed or biased view about events.
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(Can we use both 'of' and 'about'?)

3. I don't agree with you on/about the fact that .....

4. I don't agree with the fact that...
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(Can we use both expression?)

1. They can offer a skewed or biased view of events.

2. They can offer a skewed or biased view about events.
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(Can we use both 'of' and 'about'?) Both work, but "of" is smoother.

3. I don't agree with you on/about the fact that .....

4. I don't agree with the fact that...
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(Can we use both expression?)

I'd use "I don't agree with you about ... " far more often than either of the others.