Alright.. so looking at the transaction and the first email this is what i can conclude:


You have deposited 0.09471172 BTC from 12ngg3CB9VDvkbFDx7JKY92i9kYgDmiEaj to 36ii5gNkZw2vAZ8TVk9dYXtVVbJxk68hiE.

Coinbase has confirmed that 36ii5gNkZw2vAZ8TVk9dYXtVVbJxk68hiE is their address (from the 1st mail).

12ngg3CB9VDvkbFDx7JKY92i9kYgDmiEaj obviously is your address. Your wallet does hold the private key for this address (what wallet are you using ??)

Afterwards you have sent 0.62574 BTC to 12ngg3CB9VDvkbFDx7JKY92i9kYgDmiEaj (which you have control of), confusing it with the address from coinbase (36ii5gNkZw2vAZ8TVk9dYXtVVbJxk68hiE).


Your coins (0.62574 BTC) are still under your control. You can access them with the same wallet (and wallet file / seed / etc..) as when depositing to coinbase the first time.
They should be visible in your wallet.