Stove cement is based on sodium silicate. Once that has thoroughly dried, it is relatively waterproof, so I doubt any long-term damage has been done. If it was my stove (they are cast iron, not steel BTW), I would immediately start warming it from the inside with very small kindling fires. This will help with the rust on the inside. It will also help with drying the interior of the home. Even if you have to keep all the windows open, using the stove will dramatically lower the relative humidity inside the living space and dry it out much faster... hopefully, before mold can take over everything.
However, if you really were planning on doing a complete rebuild, why not do it now? That way you can clean and inspect every part of the stove and put it back together airtight. It will burn more controlled than it did last year, guaranteed. If you just replace the gaskets and the stove won't burn in a controlled manner at all, you will have to take it all apart anyway.
Where in the Northeast do you live? I am in upstate NY. If you aren't too far away from Saratoga Springs, I wouldn't mind coming over and helping with the rebuild. Sounds like you had groundwater seepage coming in through the walls? I had that bad, and would be in the same predicament if I wasn't pumping it out for two days. As it was, there was a time where it was coming in faster than it was getting pumped out, and I was wishing I had two pumps and praying to several gods that the power wouldn't go out. Man, that was a lot of rain!
However, if you really were planning on doing a complete rebuild, why not do it now? That way you can clean and inspect every part of the stove and put it back together airtight. It will burn more controlled than it did last year, guaranteed. If you just replace the gaskets and the stove won't burn in a controlled manner at all, you will have to take it all apart anyway.
Where in the Northeast do you live? I am in upstate NY. If you aren't too far away from Saratoga Springs, I wouldn't mind coming over and helping with the rebuild. Sounds like you had groundwater seepage coming in through the walls? I had that bad, and would be in the same predicament if I wasn't pumping it out for two days. As it was, there was a time where it was coming in faster than it was getting pumped out, and I was wishing I had two pumps and praying to several gods that the power wouldn't go out. Man, that was a lot of rain!