Going off from just the last game where you played Graves jungle:
Your rune page is all over the place. That will definitely hurt you early game. I never play Graves, let alone Graves jungle but the Pros are building: 9x Armor Pen Marks, 9x Scaling Health Seals, 9x MR or Scaling MR Glyphs, and either 3x Attack Speed Quints or 1x AD Quint and 2x Attack Speed Quints. That will help give you a huge early game spike that you're not having now, plus help clear your jungle faster.
As for Masteries, I'd go 12/0/18 instead of what you have since Graves is a fighter jungler, not a supporty type.
Scorcery-Double Edged Sword-Natural Talent-Bounty Hunter under the Ferocity Tree
Recovery-Tough Skin-Vetern's Scar-Insight (though if you're having problems clearing, Preserverence is okay too)-Swiftness-Strength of Ages
Both the rune page and mastery page was taken from Moon on Probuilds...he had the best all around scores IMO though there were many slight changes with different players.
You did outfarm the other jungler, which is good but for a Graves, I'd definitely expect a bit more farm in a 36 minute game. When your laner backs, cover their lane...either push it to their tower, then let it naturally reset, or just hold it, not pushing at all.
Also, I don't know if you contested any, but dragons and rift herald is extremely beneficial to your team now. Rift Herald Buff lasts 20 minutes now! I would have given it to Ekko and let him go crazy 1v1. Dragons are even more now too with the extra buffs depending on the type of dragon. Keep dragon pit warded. Killed the jungler? Dragon! Jungler is top and a bot laner is dead? Dragon! You should at one point be able to solo Dragon as Graves, though I can't help you on what level. YOu'll have to experiment honestly.
In terms of your Azir games, you're picking one of, if not the hardest mid laners to play. I'd suggest sticking to easier mid laners....Ahri, Annie, Ekko, etc. And again your Runes are pretty bad. I highly recommend going to ProBuilds.net and seeing what the Pros are using.
I'd probably say stick with normals for a while and find about 2 champions that you can play well and learn them like the back of your hand. Picking easy champs that you know well and sticking to them only (one trick pony) will help you learn more of the aspects of the game that you're missing in order to climb. Once you know that then you can expand to other champions.