[Docs] Fix broken links and more

docs/auth/index.md

@@ -25,8 +25,8 @@ as possible to create new plugins, and an auth solution based on user-to-server
 OAuth helps in that regard.
 
 The method with which frontend plugins request access to third party services is
-through [Utility APIs](../getting-started/utility-apis.md) for each service
-provider. For a full list of providers, see [TODO](#TODO).
+through [Utility APIs](../api/utility-apis.md) for each service provider. For a
+full list of providers, see [TODO](#TODO).
 
 ### Identity - WIP
 

docs/auth/oauth.md

@@ -8,7 +8,7 @@ to various third party APIs.
 
 There are occasions when the user wants to perform actions towards third party
 services that require authorization via OAuth. Backstage provides standardized
-[Utility APIs](../getting-started/utility-apis.md) such as the
+[Utility APIs](../api/utility-apis.md) such as the
 [GoogleAuthApi](../../packages/core-api/src/apis/definitions/auth.ts) for that
 use-case. Backstage also includes a set of implementations of these APIs that
 integrate with the [auth-backend](../../plugins/auth-backend) plugin to provide