form entries show up as pending posts

Are you not wanting your form(s) to create posts? Is that the problem? Or is the problem that they are pending and not published?

If the problem is the form is creating posts and you don't want it to that is because you must have used Post Fields on your form. Post Fields create posts. If you don't want to create a Post with that form, don't use Post Fields.

If the problem is they are pending and not automatically published, then that is because the Post Status option on the Post Title (or Post Body) field is set to that status. You would have to edit that field on your form and change the Post Status.

You need to configure the default post author. It uses the first user in the user list by default, which is typically Admin. But it's something you need to select. Edit the Post Title or Post Body field and you can set the Default Author. Right now it's set to that user, you can set the Default Author to whatever user you want. You also opt to set the author to the user submitting the form if they are logged in which is an option under the Default Author.