... but yes it uses multi sig system. upon registering on the site I've entered my refund address and public key.
What was the refund address and public key that you entered when you registered on this site?
so pretty much i'm stuck with the same issue as i don't have the private key. Where and how should I have obtained this private key in this situation?
The private key, will likely be the one that is paired with the public key that you entered when you registered on the site. Unfortunately for you, there is no way to go from public key -> private key (otherwise the entire system would be fundamentally broken!
)
At best, we can identify what the address is (convert the public key to address, see below), and then hopefully you will be able to find that address in your Electrum wallet and will be able to export the private key from it.
You can convert the public key to address really easily here:
https://gobittest.appspot.com/AddressSimply copy/paste the public key into Box labelled: "1 - Public ECDSA Key" and click "send":
It'll most likely give you the "Invalid Public Key Length" error... but you can ignore that (the site was designed for older uncompressed public keys that start with 04, but still works with compressed public keys that start with 02 or 03)... then simply scroll down to Box labelled: "9 - Base58 encoding of 8"... and it will show the address associated with that public key: