PageRank is not something that fluctuates on daily basis. Remember that there are billions of webpages and each of them has it's own PR, and not even Google can handle daily calculations of the hundreds of parameters that affect PR. Also, you don't even want to make huge jumps in PR because that will raise a lot of eyebrows and your site may be sandboxed (erased from the index because it smells like spam). Instead, it would be best for you to develop an SEO strategy (because it's not a project, but a process) and work on it daily.
Google Analytics is a fabulous and free tool that you can use, and together with Microsoft Excel you can get plenty of analysis done to your site. The information and analysis done in this way will help you fine-tune your SEO strategy. Study thoroughly the options of Google Analytics, study the traffic segmentation, traffic flow in your site, locate the most interesting page (most time on page spent) and see what you've done that makes this page interesting. Then find the page with the greatest bounce rate and change it using the conclusions you found from your most popular page.
It's really not about the tools you use, but about the way you use them. Tools alone can't do anything for your site. What they could, and what they're meant to do is to provide you with statistics so you can create, test and fine tune your SEO strategy that is matched perfectly for YOUR site. There is no one-size-fits-all approach to SEO.
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