That script doesn't calculate any statistics, it just sends an email for every visitor. Even really simple statistics packages show the information in a much better format. As soon as you get more than 10 visits a day, you'll get bored with your approach - even if you dump all of those reports to file.

As for logging in - I don't have to for the stats page on my site, and as far as I can see, neither do you need to log in for the nedstat reports. I would actually prefer opening a webpage (and log in, if I had to) once every other day to look at a nicely formatted report over going through 10 - 1000 email messages each day.

As for the problems with the script - it's so horribly written that I'd rather not look at it again, but I wouldn't be surprised if someone with a little time on their hands could use it to send spam and/or break into your site.

update: sorry if I seem a little rude, reading ugly code makes makes me angry. :-) I stand by my suggestions by the way. Please consider the problem you want to solve, then try to find a good solution. Don't keep hacking on a bad idea.