Leaute's Last Wishes 6-1
Client: Gate Guard
Reward: N/A
Skippable: No
Items Needed: Dream Rose
At this point from Rank 6 and up, your rank bar needs to be near full to be able to start accepting new missions now. So if your rank bar isn't near full then trade some stacks of crystal to the signet casting guard. Once that's done talk to the Mission Gate Guard and choose to accept the mission, Leaute's Last Wishes. Head to Chateau D' Oraguille afterwards and talk to Halver. He'll tell you to talk to the King, do so. After you talk to the King, talk to Halver again. He'll tell you to talk to the King again. At this point you'll get the final cut scene with the King. He'll tell you to get him a Dream Rose. If you didn't get a cut scene of the King telling you to get him a Dream Rose then you did something wrong. Now it's time to get the Dream Rose.

Gather a group of at least 10 level 60+ people together and head out to Western Altepa Desert at G-7. You're find the Dream Rose in the area of the Oasis. Clear the area of cactaurs first. Once the area is clear of cactaurs, you're be ready to take on the NM Cactaur, Sabotender Enamorado who will pop once someone click on the Dream Rose. This NM isn't too hard with the exception that he likes to spam 1000 needles which can bring one party down pretty quick. The way 1000 needles work is that it get's divided amongst the number of people in a party or in an alliance. This is why it's good to have at least 10 people because with ten people, 1000 needles get divided down to the point where it won't do too much damage. Once you kill Sabotender Enamorado, go and click on the Dream Rose to get it as a key item.

Now head back to Chateau D' Oraguille and give the Dream Rose to Halver. He'll tell you to go to the garden in Chateau D' Oraguille. Once you enter the garden, you'll get a cutscene. Near the end of the cut scene, you'll be ask to pick up a piece of paper. Do so and you'll be done with Mission 6-1.

 
 
Ranperre's Final Rest 6-2
Client: Gate Guard
Reward: Rank 7 and 40 000 gil
Skippable: No
Items Needed: Ancient San D'Orian Book
Once you accept this mission from the Gate Guard, you'll be ask to talk to Prince Trion in Chateau D' Oraguille. Upon arriving at the Prince's chamber, he'll ask you to find King Ranperre's burial place. This is easy enough to do. But first you need to gather a party of level 60+ together. A party of level 63-65 should be good enough. Just a normal exp party would do.

Now head on over to King Ranperre's Tomb. Once you enter the Tomb, head over to H-8 where you'll find a stone door. Touching the stone door will spawn the NMs. So best to move everyone back at a good camp spot. The NMs you are facing are basically 3 skeletions with the names Corrupted attach to them. They are no different than any skeletons you have face before. First sneak the person who will pop and be the puller of the 3 NM skeletons. The skeletons won't aggro the person who is popping them if they are sneaked first. Once the NMs are pop, have the person that pop them pull one of the skeleton to the camp spot. Skeletons don't link so you don't have to worry about the 3 NMs linking on the pull. Once you kill the first skeleton, sneak the puller again and pull another skeleton. Once you kill the second skeleton, the third skeleton should probably depopped. You actually only need to kill two of the three skeletons for some reason. Maybe this is a bugg or maybe not. At any rate only killing two skeletons is okay. Just to be safe, sneak everyone first and then touch the stone door again to get a cut scene. You'll get an ancient San D'Oria Book from the cut scene. If you didn't get the cut scene then you probably need to kill all three skeleton but from previous experiences that's not the case.

With the ancient book in hand, head back to talk to the Mission Gate Guard, he'll tell you that the book needs to be deciphered which will take serveral hours real time. The process actually finishes on each day the game server reset in Japan which is about 9am pst time every day. So depending on when you gave the gate guard your book, just come back after 9am pst. Talk to the gate guard again and he'll tell you the book has finish being deciphered and that Prince Trion request your presence again. Talk to the prince then head over to King Ranperre's Tomb again at H-8. Examine the stone door again for another cut scene which is your final cut scene. Now head back to the Gate Guard to finish this mission.