Using jQuery to delete data stored in wp_options

I wonder if anyone could advise me further on my problem. Part of my plugin stores log files for debugging purposes. I have successfully displayed them in a (div#log) in my admin page using jquery and wp_localise_script. I have a button to delete these logs but I am unsure how to process this. I have a feeling that ajax might come in handy here but not sure where to start.

How to save Uploaded image in custom option panel?

I’m trying to add a custom option panel to a new template following a tutorial found on NetTuts. I saved all the code for the option panel inside a file called optionpanel.php (LoL) and everything is working but now I would like to add an Upload/Image button so I’ll be able to change images inside a slideshow straight from WordPress Media Library instead of connecting via FTP each time.