He is trying to verify certain bits of information that you gave him during the date with what you wrote or included on your online dating profile.
In essence, he may be curious about something that you told him during the date and has now gone back to check out your online dating profile after the date in order to get more information about it.
Perhaps there is something that you told him during the date that contradicts or supports what you put on your online dating profile.
She likes you and is hoping that you will notice what she is doing and send her a message.
She may be a shy girl by nature who has resorted to checking your online dating profile again and again in the hopes that you will notice her and actually initiate a conversation with her.
If she is shy by nature in the real world, there is a good chance that she will be the same in the online dating world as well.