Did I do the CPFP method correctly anyone? ^^
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Yes,
You spent an output of the unconfirmed transaction.
For including the second transaction (the one you made for implementing CPFP method), miners will have to include the first transaction is a same block.

The size of the first transaction is 369 vbytes and the fee is 932 satoshi.
The size of the second transaction is 260 vbytes and the fee is 49,590 satoshi.

Totally, you have paid 50,522 satoshi as fee for 629 vbytes.
So, the equivalent fee for those transactions is 80 satoshi/vbyte.