I'm not quite sure what you mean by downbeat in #1. Down up down is the common picking pattern for a 6/8 jig but other patterns are used effectively, eg. I know a good playet who prefers to use down down up most of the time.
The important thing with the 6/8 jig is that you can split it up 123-123 or you could say your emphasised notes fall on the 1st and 4th beats of the bar.
Remember though that not all tunes in 6/8 are jigs. There are 6/8 marches for example.
#3: The DT contains little in the way of jigs, reels, hornpipes etc. The most comprehensive resource for finding tunes is http://trillian.mit.edu/~jc/music/abc/findtune.html .
As you will have noticed, most of the tune material is in abc. You will find a more complete listing of sites with abc collections, most of which are tune collections at the abc homepage.
Opinions may vary but I see no point in trying to make the dt into a tune (without words) resource as well as a song resource.