1. You have not configured the control properly and when you click on a link the correct url cannot be resolved.
You should set the following properties of the TagList control
1. ProviderName - Blogs
2. TaggedContentUrl - url to the page where BlogPosts control has been dropped.
3.TagKeyType - ID
4. TagItemKey - BlogTagID
The default QueryString keys are set under BlogPosts control >> Advanced >> QueryString Keys. If necessary you could change them, but they should reflect to the TagList control settings.
2. You can map the external template for the TagsList control and remove/hide the link form the HTML - How to map a template.
Another option would be overriding the control and accessing the link inside CreateChildConrols from where you can hide it.
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