There a number of logcat viewers available on market. Just do a search ...
When you say "check", do you just want to now what type of FS for each partition, or do you want to run filesystem checks (e2fsck) on all partitions? If you just want to know the type, then you'll have to do so via adb shell, just run "mount". To run e2fsck for all partitions, I think that first post of Xmister's fs conversion thread has a zip file that will do that. To check whether 03fsckdata is really running, you'll have to check logcat for notifications.
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