For newer versions of Smiths, the extractor star is replaced to correct timing, on that vintage gun, it's the hand. A standard hand may correct it, tho they used to make an oversize hand. I didnt see them last time I looked at Brownells, but I may have missed them.
It's very common for one or a couple-3 chambers to go out of time. I've never seen all go out. The hand may drop in, or it may need a little fitting. Just get one and try it, see what happens. The part doesn't cost much. If that doesnt fix it, (and it probably will), you arent out much.