Are there any lighting fixtures in the two adjacent rooms that you can see from the dining room through the large openings?

What metal finishes are visible from the DR in the adjacent rooms - brass, chrome, etc.?

No -

Is that an island near the dining table? Any fixtures there (the island looks illuminated)?

Brass

The island is just recessed

Just two recessed lights where two hanging ones used to be

Three non-expert suggestions - you can change up the finishes to brass:

A drum shade:

A traditional round chandelier with or without mini shades:

A linear fixture with brass:

I like the drum

Here’s what I was looking at

Of your 2 choices - I would say number 1.

You don’t have to match the brass and I could see a vintage style in silver and crystal. If you don’t absolutely need the clock there, you could consider bringing in more art. AI went ‘dark and moody’ on this tapestry - but of course this is just one view.

Ty!