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So this is all quite normal, and is how custodial wallets and centralized exchanges work. Whenever you make a deposit to your account, that deposit is then combined with dozens or even hundreds of other users' deposits to their accounts, and combined in to one central hot wallet. Think of it like a merchant taking in a few dollars in cash from 100 different customers, and then going to the bank and depositing all that money in to one account. These are the 3 "output" transactions you are referring to. Your coins are simply being consolidated by Cryptonator in to their main wallet, but you obviously still see the relevant balance and credit in your account.
When you send coins out of your Cryptonator account, they therefore do not come from the same address you deposited to, but rather come from this central wallet in which Cryptonator has already combined everyone's funds together. So when you look up your withdrawals on a block explorer, they come from a completely different address to the one you deposited to.
As I said, this is all quite normal and is how all services such as this one work. It saves them a considerable amount on fees by using this approach.
crypto ether or the cryptonators Pocket
There is no such thing as the "crypto ether". If your transaction was unsuccessful then we wouldn't be seeing it on block explorers. Your deposit was successful, your coins have since been swept in to their central wallet as I described above and as happened with your two other deposits. For some reason their system has not credited your account properly.