Hello,
It all depends.
If the Word documents are well structured you can write a script or two, either in Word or in EA, to import the Word contents. This would be one-way.
You can copy the contents of the documents into document artifacts in EA. That way you can at least trace to the documents.
You can drag-and-drop text from Word into EA, and create elements of a type appropriate to the diagram (so create a use case or requirement diagram first). Works out of the box, simple, manual, repetitive, boring, one-way.
If you've got tables in Word you can massage them in Excel and import them into EA using CSV Import. This can be used both ways; once the use cases have been re-exported from EA they've got GUIDs and subsequent re-imports will update them.
The left side / right side thing is kind of achievable using EA's specification manager, which shows you a document-style layout of a hierarchy of (requirement) elements.
As for linking into external documents, provided there are viable link targets in the documents you can create hyperlinks in diagrams as well as "file" links in elements.
You should also check out an add-on product called eaDocX, which may be of use here. I'm not affiliated but I know some of the eaDocX people are on this forum too.
Over to you, Phil.

Cheers,
/Uffe