Too bad you did not look around first. A new carb can be had for between $265-$279 here, https://www.partzilla.com/product/ya...35bd3b992320d9
I have also seen a few cheaper elsewhere. Think I paid around $250 for a new Old style Pre 2001 carb the last time I bought one.
Yes on the storing of things like papers or rags in that nice little compartment behind the battery. That is where the intake air comes into the filter box and a good place to find mouse nests as well. My second TW, a 1988 had that area packed with seeds and nuts as a storage bin for some critter.