Keeping & storing guided search

Hi all,

Faceted Search is really a great module.
I was wondering if it offers possibilities to keep and store/save guided searches.

Namely, is there a way that :
1. A guided Search keeps being displayed (e.g. on the right hand side block area) with its search parameters after a user has clicked on a specific node.
2. User can go back to her/his guided search after she/he has viewed a specific node.
3. User can save a search and retrieve it later on.

Many thanks for your help.

Laurent