Yeah, I think you're a little confused with your variable use here. $_POST will only work from FORM postings, with method="POST" in your form definition.
If you're wanting this to work EVERY time that page is accessed, defaulted to the last chosen value, you're going to have to store a cookie on the users machine, or, alternatively, if this is behind an authentication section, have a field in the user's unique row, called last_selected or whatever, and every time that form is received, you update that value with the "last selected value."
Then, when you're wanting to mark one as selected, use $SESSION instead of $POST, or, the $Var used for the database communication.
Hope this helps.
Kevin.