I searched for the keyword "asian travel tips" and you were on the 3rd page of Google. I clicked and went to your website, so you should see at least one organic visit. Your site seemed to load pretty quickly, so that is good. Check the stats for today and let me know if the visit shows up. If you don't see it, there must be something wrong with your analytics tracking, which I feel must be the case because your visits dropped to zero. It just doesn't seem right that you wouldn't have at least a couple visits show up.
Have you been tracking some of your keywords daily with the rank tracker tool? That is a better way to get an update more often on your site's ranking for specific keywords since you can run it every day and see how the keywords have tracked over time rather than waiting for the weekly update.
I ran a site:www.travelnasia.com query and it looks like you've got 806 pages indexed in Google. Does that seem about right?
I scanned your site with Screaming Frog SEO Spider. It's a pretty nice tool, check it out if you haven't yet. It definitely helps with locating and fixing broken links. The tool also gives you access to tons of information about your site. Here are some sample reports from your site:
Crawl Overview: https://dl.dropboxusercontent.com/u/74533600/crawl_overview.xls
404 Errors: https://dl.dropboxusercontent.com/u/74533600/client_error_%284xx%29_inlinks.xls
No Response Links: https://dl.dropboxusercontent.com/u/74533600/no_response_inlinks.xls
Hopefully you're able to get this figured out quickly. I'll let you know if I think of anything else. Best of luck!