How can I make these tabs wider so that they are not so close together
The Luna template is always used for backend. You'd need to edit it and increase the distance between tabs using CSS. You can find the template below.
/components/com_comprofiler/plugin/templates/luna/template.css
Also, when you go into the tabs and look at the fields - the fields need to be spread out across the page.
Edit your fields and set them to display on 2 lines instead of 1. Aside from that I don't understand what you're asking.