HI AVB,
The top two photos certainly don't show it in the best light as it still looks well rusted, especially the underside. The third shot looks good though.
I've found using a fairly concentrated solution using Washing Soda (stronger Caustic) removes all the rust very well and it will then require a good rub over using Scotch Brite to mechanically remove all the left overs on the surface. After that it's clean as.
Cheers,
BB.