[susan53]

All fine. In speech, once something has been said and is "shared" between the speaker and listener, there's no need to repeat it - in fact the conversation would be very unnatural and boring if it was repeated.
The only one I don't like much is "After seeing the crocodile" - but only because After + Verb+ing is slightly too formal for the context. It's common in written English, but when speaking After she saw... would be more usual.

PS. During isn't a conjunction but a preposition