In inserting the banner, do I put in the full html code?
You would need to place your banner HTML code in. You do not need to place in an entire page's code (e.g. [html], [head], [body], etc.) in.
An example might look like:
[div align="center"]
[script src="/path/to/banner/javascript" type="text/javascript"][/script]
[/div]
Note: Angle brackets changed to normal brackets, since UBB.classic doesn't want me using them (or entities either).
I hope that helps!