hi karen! do you have any photos of the dining and living room? would love to help, but photos might aid in an accurate suggestion

pendant lights looks nice only if place above a table like a breakfast nook or island. hanging them freely does not complement their look. since there is no island under the ceiling try to embed recessed lights in the ceiling. alternatively track lights will also look great if you need brightness.

The distance between chimney and hob needs to be 26"-30" : 65cm-80cm. placing it above the window, suction power is reduced, placing it in middle of the window, will make the window ineffective. Island chimneys are best suited to be positioned in middle of the room, the duct running through false ceiling. also they fall in the expensive category. it is best that you move the hob position to side of the window, or totally to the other side and do chimney core cutting there.

well narrated, however, if you can add a photograph too ... it would have been more helpful to provide a suggestion