Where is the best way to check backlinks for your website? And where you look over google pagerank for your website?
Install Google toolbar in your browser. There's an option in Google toolbar to show page rank, just enable it. Then open your site in the browser & the page rank button in Google toolbar will show you the page rank of your site. To check back links in Google do a search for link:http://www.example.com replace example with your domain URL.
Agree with akashseo. It is the best way to check the back link & PR of a site. You can also use same query in bing to check back link. In Yahoo query will be different linkdomain:example.com . Hope it helps you better.
I recommend two official tools for backlink checking: 1) Yahoo Site Explorer (siteexplorer.search.yahoo.com) - displays a lot of links, and you can use it for any website, even if you don't own it. 2) Google Webmaster Tools (google.com/webmasters/tools) - displays fewer links in my experience, and you can use this for your own websites only. However, these tools also provide other valuable data, like your search rankings, so I think this is a must-have. Also, some people recommend Linkscape (seomoz.org/linkscape), but I haven't had much experience with it personally yet, so I cannot comment on its relative usefulness.
page rank check = use Google toolbar (free & must have toolbar for SEOs) back link check = again use Google website (try searching what akashseo told in his post above)
Yes, for PageRank checking, Google Toolbar (toolbar.google.com) is the way. Using third-party tools that query Google programmatically without a proper license is against Google terms of service and can get you banned.
Backlinkwatch is good tool for backlink checking, you can also try seoquake for check pr, index pages, backlinks, etc..
There are lots of tools available on net with help of these tools you can easily check your backlinks and pagerank. and most of tools are provide free services.
Yeah, I would use something like http://www.seoquake.com/ to quickly check the PR and other website stats from within your browser (Firefox and Chrome). I also use Foxy SEO for Firefox to quickly check backlinks with blekko.