How do I configure Firefox, that when I open a new tab it goes to my home page?
CTRL+left-click the Home icon will open a new tab to your set home page.
This Add-on will open a new tab when clicking the new tab "+" icon (or when clicking New Tab from the menu) to whatever page you set in the options for the add-on:
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Not related to your question, but...
You may need to update some plug-ins. Check your plug-ins and update as necessary:
Consider upgrading to Firefox 3.6.24; you currently are showing Firefox 3.6.23