I used the core wallet with the full blockchain download, and has since synched with same result. I did notice a suggestion to drop my private keys but not sure how to do this.
be careful to drop the private key, it could be spamming trying to divert your transaction. don't rush. check email messages in all options. if you find a message from Kraken support then I think you need confirmation to make the second deposit or the first deposit. if the tone is experiencing these obstacles, use the support service until you get an answer from them. Again, don't enter the private key.