It really depends. A basic article will be ignored because let's be honest no one has time for that. However, if it is good and about a topic which the reader is interested in then that is fine.
If by "your publication" you mean articles/papers written by you, by all means. i am saying this for the following two reasons:
1. it shows continued interest in the domain area
2. it helps in keeping in touch with them, which is great!!
Alternatively, feel free to share with people working in that domain, even if you haven't interned with them. this can be a great ice breaker. but ensure that your publication is of good quality and is analytical. not a mere reproduction of a legal update or case summaries (anything which is easily available on the internet)
The answer is both no and yes. Don't share articles which are flimsy and literature review. I don't like reading those since I have everything covered in my notes which are more updated than a review. Don't share shallow opinions either. But if you share a high quality article - say something which covers development in other jurisdictions on similar issues, or an alternative reasoning supported by precedents from other disciplines - I will like it.
Extremely. Ppl will laugh at you as an uneducated buffoon especially when your average associate will be reading judgments of Supreme Court and High Courts on the same subject.
1. it shows continued interest in the domain area
2. it helps in keeping in touch with them, which is great!!
Alternatively, feel free to share with people working in that domain, even if you haven't interned with them. this can be a great ice breaker. but ensure that your publication is of good quality and is analytical. not a mere reproduction of a legal update or case summaries (anything which is easily available on the internet)