I would not get rid of anything until the restoration is completed.
Especially the cabinets. They can be used as patterns for new wood replacement.
As you progress and hang out here, you will discover how hard it is to find things for an Airstream as vintage as yours. I would rather hang on to something for a year than regret having tossed it. I rented a small storage locker for the guts of a Globetrotter to keep everything in one place and out of the way and dry.
Parts for the oven/stove are hard to come by. If you are replacing it, someone could probably use the parts. Knobs, burners, grills...
If you are ever planning on selling the Bubble, the value will lie in how original the restoration is. The Bubble is a valued find and restored right will bring you top dollar and value, not to mention a sense of accomplishment.
The floor repair will only work and last if you do it right. This would require replacing whole pieces and not trying to just patch it. Probably the worst thing to have to work on. Be glad you have a small trailer and not a 27 footer.
Keep us informed on your progress and discoveries.
-"You want to make it two inches - or, if you're working in centimeters, make sure it's enough centimeters for two inches."-Red Green