My default type is stuck in superscript

There are several possibilities, but most likely, you inadvertently set your app default to "superscript." Try this:

With no document open or selected, open the base style in the Paragraph Style list, which for you is probably [Basic Paragraph]. Under Basic Character Formats, set Position to "Normal" (not "Superscript.") Close the style menu. That should do it. You may have to repeat this for base styles in some current documents, but if you do it for the base styles, it should cascade to any others.

Two things: never use [Basic] or [Default] anything in a document. Create your own styles under new names, ones that are not connected to or based on these defaults. (The reasons are complicated but it will prevent a lot of unwanted app control over your styles.)

Also, note this "set something while nothing is selected" technique — it's a bit cryptic, but it's a fundamental InDesign feature to allow setting globaly defaults. If, for example, you set the color to Red while nothing is selected, everything you create from that point on will assume Red instead of default [Black]. This applies to... almost every style setting there is. You can use it to your advantage sometimes, but mostly, it's for cases like this where all of a sudden all your text is red, or bold, or a weird font, or the like. The fix is to re/set the style with nothing selected.