The question is can I still have BTC which I have sent as I described?
Yes. Every address on the "Addresses" tab belongs to your wallet and can receive coins at any time. If the coins have been correctly sent to one of your addresses, then they should be recoverable.
First of all, can you double check the address in your Coinbase withdrawal history or email confirmations correctly matches the address in your Electrum wallet. It could be that you have copied an incorrect address or fallen victim to malware which has resulted in you pasting an incorrect address without realizing it. Secondly, can you open Electrum and tell us if there is a green or a red circle at the bottom right, as it could be an issue with your wallet not syncing properly.
If you are willing, can you share the address here so we can check if there have been any transactions?