What can I do with stats?

What will these stats really tell me?

[flaxmac]

I am wondering if there is any stats product that is free or near enough, that will tell me:

1. The search engine used to find me.
2. The keyword phrase that was used to find me.
3. The rank I was in the list of the search engine that I was found in.
4. How long the visitor stayed at my site.
5. What pages they visited on my site.
6. How long they spent on each page.
7. What they clicked on on my site.

hey if you know of anything else that I should be looking for to help me, please tell me.

This stuff is driving me crazy, at the moment I am using webalizer, it's free, thats about all I can say for it.

I may be changing host to someone that offers urchin stats for an additional $5 a month, do you think it is worth it?

[JAB Creations]

AWSTATS is my favorite (do not get a version lower then 6.4 however as it has a major security hole). It will tell you everything you want to know minus your rank (as your search engine rank is not really a statistic so much as it belongs to the SEO catagory).

[awstats.sourceforge.net...]

I am redeveloping a version of AWSTATS called awfreak which has highly enhanced browser and spider detection that I'm developing locally on Apache 2.