I left out the following sentences. Thank you.

1) We have been seeing each other a lot recently= We have been meeting each other....
2) She is smelling the perfume of the flowers at the moment. She has been smelling the perfume of the flowers for five minutes.
3) I'm thinking of going to New York.(= I'm considering the idea of going..?)
4) She has been thinking of going to New York for a long time (for long??)
She's been having a shower for ten minutes.
5) I'm thinking of (not about??) travelling to Paris.

1. "seeing each other" means dating -- meeting each other is just that.

2. OK

3. OK

4. delete (for long??)?
She has been taking a shower for ten minutes.

5. It could be either "of" or "about" -- the meaning will not change. "traveling" has one "l" because the stress in the word is on the first syllable, not the second.