checking boot partition with fsck

[Vwaju <lou@manhattanhandyman.com>]

Thanks to Lisi and Sven for advising me on the use of fsck to check
the boot partition.  (I believe the –f option to fsck is *not*
documented on the man page!)

After boot failure, I booted debian-live-500-i386-rescue.iso, and ran
fsck on the boot partition:

use@debian:~$ sudo -i
debian:~# fsck –f /dev/hda1
fsck 1.41.3 (12-Oct-2008)
e2fsck 1.41.3 (12-Oct-2008)
Pass 1: Checking inodes, blocks, and sizes
Pass 2: Checking directory structure
Pass 3: Checking directory connectivity
Pass 4: Checking reference counts
Pass 5: Checking group summary information
/: 40679/2338336 files (0.5% non-contiguous), 251828/4674907 blocks

I don't know how to interpret this output.  Does it indicate a problem
with the boot partition?

Seven advised:  "After you have checked the filesystem, you can mount
it again and look for other problems."

Query:  What other problems would I look for, and what tools would I
use?

Thanks to all my interlocutors!