I can't find my apple watch

Last Thursday morning, I didn't wear my Apple Watch but I don't remember if I left it somewhere at home or if I brought it to school in my bag. When I came back home and I looked for it, I couldn't find it, but on the 'Find my' app it said that it was in my home, although I couldn't find it and I couldn't make it sound since it was in silence mode. I had been searching it for a week without finding it, but it kept updating the location saying that it was in my house.

I also can't make it sound with iCloud because it says that it is offline.

Is the updated location of the Apple Watch the last location recorded by 'Find my' when the watch was still switched on or is it actually the real updated location?

Is there any other way to have a precise location of my Apple Watch?