Each user may have his or her own blog within Moodle, where one may add posts submitted through Moodle or link posts from external blogging platforms to appear within your Moodle blog.
To get to the blog functions to begin your personal Moodle blog, go to the Navigation block and select Home >> My Profile >> Blogs to begin posting.
External Blogs in Moodle: External blog entries, from Blogger or WordPress, for example, can be included in your Moodle blog. To do this, go to the Administration block from the Moodle homepage and select My profile settings >> Blogs >> Register an external blog.
When finished registering your external blog, select Save changes.
To delete the assignment, please see this post.