Yes, what you are referring to is the Common Spent Fuel Pool (CSFP) and it holds many more times the amount of spent fuel than the R4 SFP. That building however, does nto seem to have been damaged by either earthquake, tsunami or explosion (even though it is right next to R4, just to the west) and seems to have held up more so than the reactors that have exploded.
So far as I know, the CSFP is still at about 90% capacity:
The other reactors have spent fuel pools as well:
Caltech .pdf <- Direct link to 20.64 MB .pdf, very large file, dial up users be aware.
So there are more than one SFP that are in a precarious position.
Cryptome has a great section dedicated to Nuclear Power and WMDs which contains many high def pictures of the site, including the ones from the early T-Hawk overflights.
This is indeed worse than Chernobyl, that was one (1) level seven event, this is three (3) level 7 events and a level 3 event on top of that:
Source: Earthquake and Tsunami In Japan on March 11, 2011 and Consequences for Fukushima And other Nuclear Power Plants <-- direct link to 4.9 MB .pdf