3. Beasts. You could do this in Cape Terrigan on rabbits and Manticores but it's slim pickings. Best bet is going to Uluegerand range(of course Firesday not weather). Plenty of bunnies, tigers and buffalo down the ramp. Also plenty of other people doing trials so its easier to team up.
I liked Opo-ops in Ifrit's Cauldron for this one, knocked it out by running the "loop" from the western entrance to the Cauldron from Yhoator. Respawn times will be pretty close to right when you finish your loop.
4. Bombs. I tried the Mt. Z route and Ifrit's and its only good for weather(plus a sh*tton of travel), not so much firesday. There are plenty of bombs but they are spread out and the respawn is 15 minutes. If you happen to be there for fire weather have a blast. The better route is to go to Abyssea-Vunkerl(of course on Firesday) to conflux 8(near Sippoy spawn) and kill Helter-skelters. There is plenty of them and they resapwn fast plus ppl are always there farming seals or doing trials. /shout for help always!!
I did Ifrit's here too, probably the most annoying trial because of the respawn time but it's not THAT terrible if you figure out a good loop pattern. This for me was essentially the same loop as the Opos, but adding a couple extra detours to hit extra bombs. You'll figure it out after practicing for a day. I took like 4 fire days to complete the whole trial, with no luck at all of fire weather.
If you don't get weather, yea, Abyssea's probably faster.
EDIT: Oh, for Ifrit's Cauldron, /DNC suggested for Spectral Jig alone - avoid unwanted bats at night and other various nuisances in the tunnels (scorpions, hecteyes, etc). Edited, May 9th 2011 5:57pm by Anza