You shouldn’t try to date at this time if you are insecure.
If you were to date, you would simply bring those insecurities into the relationship which would make it that much harder for the relationship to work.
If you are two shy people in your first relationship, try to do things that will help you move the relationship along at a level that isn’t so predictable and thereby mundane.
In other words, try not to keep doing the same activities over and over again.