Is there any way I show off my Stack exchange Flair on my Facebook Timeline?
Pasting the HTML code snippet as a "Status Update" just gives a link to my SE Profile.
Also is there any way I can make it appear as the first post in Facebook forever?
I'll address two main issues here -
I won't discuss the technicalities here because its not what we are here for. However as mentioned in a comment, it might be considered a please do my research for me question. You'd have to come with a slightly more specific question such as "How do I load an image into an SWF using ActionScipt 3". A question which showed that you have researched your issue, have a plan, and are having difficulties implementing a certain part of it.
If you like, you can turn this into a feature request. Don't forget to make
Because convincing people to make SO more compliant with social-networking is a debate/argument/discussion that has been had many-a-time... You'll have to present a solid argument and show that the site and the community would benefit from a feature like this. One could argue that what you are asking for could simply be an image that you upload to Facebook. Low-tech as it is, it has the same effect.