How do I add backlinks to my blog using Wordpress and which plugin would I need?

[Kevin]

Backlinks refer to sources sending traffic (visitors) to your website. They are also commonly referred to as Off Page SEO (Search Engine Optimisation.
This is a huge topic & much information can be found freely by doing a search on Google & the like. There is also a huge collection of videos on YouTube.
Here are some quick things you can do to give you a foundation.
Make sure you have submitted your web address to each of the search engines in their Web Master Tools.
Once your site is registered with them this means your site is indexed & they will continue to visit your site for new content. Your content should be quality & original. As a minium 450 words oer item of content is considerdd a good bench mark.
You should the take each the URL of every page of your site, or post & "Ping" those url's to Pingler.
Set up Facebook, Twitter, etc accounts & make sure your website address is clearly defined in HTML code so that it is a clickable link. You should also consider LinkedIn if that is a match for what your site is about. Ping each of those URL's to Pingler

Find relevant forums for your market & join them. Most of these sites allow you to enter your www address. Join in conversations & post good comments. Do not spam them or you will get banned.

Find other blogs in your market place & make good rely comments to posts. Most blogs allow you to put your www address in the comment box.

These are good starting places to begin your Backlink strategy. I hope it helps you.