There's a timer at http://ffxi.lokyst.net/timer/crafttimer.html
which can help you figure these things out. This is a controversial topic among crafters, though. I think many (perhaps most) folks accept that day of the week affects things, but the precise amount is not certain (the timer link suggests 1 point either way). Facing a particular direction might or might not help (+/-1), and the same with moon phase (+/-1). Also, you can get basic (free) or advanced (paid) support, which the FFXIclopedia
suggests adds +1 or +2 skill, respectively. Of course, the same wiki
also states that it's actually +1/+3 - go figure.
Bottom line, nobody knows for sure, but lots of folks have their superstitions. Most of the crafters I personally know, including myself, will face the "right" direction in case it helps, but don't really expect it to make a difference. Guild support definitely makes a difference, and is cheap, so don't forget to use it if you need the boost. Also, remember that you can start skilling up 10 levels below the recipe cap, but can't skill up on a break until 5 levels below the cap (which doesn't appear to be affected by anything other than the cold hard true difference between the cap and your level).