The depth of dining area from slider to hall wall is around 125"-130". The island has stack of 18" drawers and 24" cabinet with roll-outs. We did 11" overhang on two adjacent sides, so total island countertop size is 53" x 35".

Better lighting schemes consist of layered lighting from multiple sources and points. So yes, you should consider both recessed and pendants. Pendants with transparent shades will distribute light 360 degrees. Recessed lighting is distributed in a cone shape and make highlights and reveal shadow areas when used alone. Expect to pay more for this room than you have experienced for your library. Most electricians charge a premium for high work, sloped housings cost more, and, as you probably have already accounted for, rates have increased from years ago.

We like to put one (or more) recessed lights around the island if it includes a work surface (sink or cooktop). The recessed light should be switched separately from the pendants so that it can be turned off when not needed.

I'm not a fan of pendants dangling over a vanity area, it would be a last resort for me. Recessed, in combination with wall sconces works well. The vanity lighting need not be the only lighting in the bath, either. Recessed in the middle space of a bath, wall sconces at the roughly "head" level of 66 inches off the floor at the vanity can work well too. .........or even sconces above when it is the only option. The "rules" are lighting specs, space, style and personal need dependent. It is difficult to advise you minus a bath plan, or even a photo.