Prince_of_Light
First, change Method to DPPT Egg PID (International). This does not really affect your results, although it does make finding shiny spreads at lower taps easier.
Migrated parents do not affect anything. Your parents are fine.
How did you determine your SID, either calculating from IVs of past shinies or by using an AR code (and if so, did you calculate/cheat his game, or your game, as you need his SID, not yours).
The 10 coin tosses checks your seed, not clears it.
Common issues would be that you do not have 6 Pokemon in your party when you are tapping, your character has recently linked up to Wifi/LAN which can influence the seeds so resave, you are miscounting, you are flipping to the happiness checker more than one time, or your parents have created an egg before you finished tapping so keep one parent in your party to separate them.
You have to be more descriptive with your process if you want help, please.
klofka"
That's really strange... Is your DS or router faulty? Can you usually connect to the GTS or Wifi or not? D:
RockTheArena
An Adamant nature will hinder your Pikachu, as it prefers using its Special attacks. I suggest capturing a new Pikachu, evolve Kichi, or raise a Luxray. On the other hand, you can ditch an Electric type (you don't really need one for 8th gym and Elite Four) and teach Thunderbolt or whatever to another party member. If you do want to keep Kichi, perhaps you can teach it Brick Break to make use of its nature.
A good place to train is obviously the Grand Lake Hotel Restaurant. I am out of ideas of what trainers are good for that point in the story, though. ^_^;
To boost Kichi's stats:
Give vitamins (purchased in Veilstone)
Beat Staravia and Pikachu in Trophy Garden for more speed
Beat Roselia in Trophy Garden for more special attack
Beat Kricketune in Trophy Garden for more attack