Correct, since you're going HA/KG, you can't have an Advanced Ninjutsu.
And it's running speed not overall speed, that's an important difference. If you dropped LWs, you could fly at that speed as well. As for the Puppet Cursing, you can learn it, I just missed it because it's sandwiched between the Tenseigan techniques, lol.
( Ningyō Noroitama ) - Puppet Cursing Technique
Type: Offensive/Supplementary/Defensive
Rank: S
Range: Short - Mid
Chakra: 40
Damage: 80
Description: The user molds his chakra into the form of a green-coloured sphere. This sphere is held and can be seen as similar to the Rasengan in appearance. By sending it at an opponent, the user can use these spheres to temporarily take control of an opponent's body, effectively turning them into a puppet, with limitations of course. It also has tactical purposes, allowing the user to read the minds of those it enters, mentally linking to the user. These spheres can also have damaging effects, causing damage if used as an offensive sphere of chakra, similar to Rasengan. The user cannot use it for both puppet mimicry and to damage the opponent in the same turn. The user can alternatively use the offensive variant through his actual puppets, not the ones used from this jutsu.
Note: Cannot be used to force the opponents to kill or injure themselves.
Note: Only two puppets can be controlled at a time via this method and up to Kage ranked. Hold over the puppets last for only a single turn.
Note: Can only be used by Otsutsuki Clan bios.