It wouldn’t hurt to purge unused stuff from your model. I purged the following:
There seems to be some excessive detail in the model that would cause a huge slowdown in rendering, especially with a graphics card that isn’t that great to begin with.
The tiles could be greatly simplified and still look fine. It would also help if you had made the first tile a component instead of a group and then copied that. It would be even better to use a texture instead.
The toilet has a bunch of unneeded internal geometry that won’t be seen so it could be edited and reduced in size.
The bottles on the ledge probably don’t need detailed labels. You aren’t selling the product in those bottles are you? Replacing the image textures with simple colors would help to reduce the file size and also reduce the rendering load in LO.
If I had more time available, I’d fix up your model to make it more efficient and give your graphics card a fighting chance.
Another thing you could do that will help is set the face style to Hidden Line or Monochrome while you are working on the project in LayOut. You don’t need to see the textures and colors while you are working and the Hidden Line and Monochrome face styles will speed things up a lot since there’ll be no need to render the textures. In SketchUp change the style accordingly and update the scenes. When you have the LO document otherwise ready for export, change the style in SketchUp back to Shaded with Textures, update the scenes, and then update the reference in LayOut. Unless you improve the model as I described above, you’ll still have to wait for the viewports to render but you’ll only need to do it once.