That sounds about right.
Just because you named a folder Sent doesn't mean the sent mails will go there.
Have a read  Saving mail
If you went online (gmail ) and looked you will find the folder you created under "labels" BUT it will still be empty. If you wanted a copy of the sent items you can copy to that folder, or should be able  to make up a rule. To do that, go to the Sent Items folder, right click and create rules from the rule options.
Just because you named a folder Sent doesn't mean the sent mails will go there.
Have a read  Saving mail
If you went online (gmail ) and looked you will find the folder you created under "labels" BUT it will still be empty. If you wanted a copy of the sent items you can copy to that folder, or should be able  to make up a rule. To do that, go to the Sent Items folder, right click and create rules from the rule options.
Upgrades = Old bugs replaced with new Bugs.