Sorry since its a pain to constantly look up I'm going to reorganise what I see above :P (No EVs or Stats since thats useless ingame :P)
Jirachi @ Figy Berry (LV 89)
Ability : Serene Grace
- Psychic
- Doom desire:
- Fly
- Draco Meteor
Giratina @ Figy Berry (LV 53)
Ability : Pressure
- Psychic
- Aerial Ace
- Defog
- Shadow Force
Azumarill @ Wave Incense (LV 43)
Ability : Thick Fat
- Bubble beam
- Aqua ring
- Strength
- Surf
Feraligator @ Wiki Berry (LV 54)
Ability : Torrent
- Cut
- Rock Climb
- Waterfall
- Shadow claw
Azelf @ Sticky Barb
Ability : Levitate
Moves: ??? (Possibly the moves you got it with)
Uxie @ Figi Berry
Ability : Levitate
Moves : ???
Okay so the Elite 4 (E4 right? :P) are Aaron, Bertha, Flint and Lucian with the Champion being Cynthia.
Aaron battles with;
Level 49 Yanmega and Scizor, Level 50 Vespiquen, Level 51 Heracross, Level 53 Drapion
Bertha battles with:
Level 50 Whiscash, Level 53 Gliscor, Level 52 Golem & Rhypherior, Level 55 Hippowdon
Flint battles with;
Level 52 Houndoom, Level 53 Rapidash, Level 55 Flareon & Infernape, Level 5 Magmortar
Lucian battles with:
Level 53 Mr. Mime, Level 54 Bronzong, Lvel 55 Espeon, Level 56 Alakazam, Level 59 Gallade
And the Champion, Cynthia battles with:
Level 58 Spiritomb&Milotic&Roserade, Level 60 Togekiss and Lucario, Level 62 Garchomp
Your Jirachi is completely overpowered at level 89 so yeah it can probably take the whole league by itself. In the case that this is in fact a typo then;
Defog is completely useless on Giratina. Replace it with Earth Power (Level 60)/Ancient Power
Azumarill is acceptable ingame though you might want to change Bubblebeam to something like Ice Punch
Feraligator.. please get rid of cut. Replace it with Crunch/Ice Fang
Azelf. I dunno but I'd suggest running a Nasty Plot set with Psychic, Shadow ball and another move
With Uxie I'd probably replace it with a fire type or something to deal with Aaron easily.
However Azumarill is completely underlevelled and all your Pokemon should be at last like mid 50s or something before taking on the Elite 4. If you do get them to that point then here's what happens at the elite 4: Aaron gets killed by fire types, but if you dont' have one fly jirachi will make do. Bertha is easy, you have Feraligator and Azumarill. Flint same thing. Lucian gets a little annoying, but Giratina can handle it and Jirachi can take out Gallade with a little luck and if you run the Azelf set I suggested, then Azelf has this in the bag.
Cynthia gets complicated. Having an Ice-type attack (Ice Fang/Ice Punch on Azu/Fera) will make this alot simpler since it destroys Togekiss, Garchomp and Roserade. The others, just hammer them dead with like Draco Meteor.
GL beating the Elite4, sorry about the big block of text and hope I helped!