What major events occur inside the nucleus?
DNA replication in preparation for cell division and transcription.
What is the network of filaments called, which holds together the nucleus at the inner membrane?
Lamins.
What proteins interact with the nuclear envelope?
Small water soluble molecules, RNA, ribosomes and histones drift between the nuclear envelope.
As well as Smooth Endoplasmic Reticulum (SER) and Rough Endoplasmic Reticulum (RER).