Little note for future - it is good practice to quote significant parts (or present them in separate file), while adding whole syslog just for refference - it's no fun to search through n thousands of lines, to find one you've described. What I mean, is presenting quote of things you see as important, + whole log as additional thing, in case you might be wrong about what's important
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Anyway, about your problem - if you've tried recreating partition table/filesystems on that card from scratch, I can only advice testing different card (even 1GB or 2GB), to filter out possible cases. If other cards work ok, it's definitelly problem with that one - I'm using, personally, 32GB microSD (sandisk class 4), and I'm not experiencing it. Not that there are any technical reasons why there should be issues - even kernel thing you've described was about SDXC (64GB+) support, and as said, fixed in kernel power.

Also, as you noticed, other filesystems on microSD doesn't impact swap at all. It doesn't matter, for that purpose, if you're using ext4, vfat, or even swap itself, as /dev/mmcblk1p1 (first partition).

/Estel