Even though you found yourself the answer, I'll leave this here in case anyone stumbles upon this looking for something related.
There's a tool called Open XML SDK 2.5 Productivity Tool, which you can download from here that allows you to reverse-engineer a word .docx document to obtain the C# code to generate it from scratch.
In order to get the code that you are looking for to generate any kind of word element (a checkbox, a table, a bulleted list...), you need to create a word document with said element and save it.
Then, open it using the Open XML SDK 2.5 Productivity Tool and click on the "Reflect Code" button. The generated code will show you how to create those elements, styles and other formatting included.
With that, I got the code necessary to get a paragraph with a checkbox
using DocumentFormat.OpenXml;
using DocumentFormat.OpenXml.Packaging;
using DocumentFormat.OpenXml.Wordprocessing;
using A = DocumentFormat.OpenXml.Drawing;
using DW = DocumentFormat.OpenXml.Drawing.Wordprocessing;
using PIC = DocumentFormat.OpenXml.Drawing.Pictures;
public static Paragraph GenerateCheckboxParagraph(string internalName, int internalId, string textAfterTextbox)
{
var run1 = new Run(
new FieldChar(
new FormFieldData(
new FormFieldName() { Val = internalName },
new Enabled(),
new CalculateOnExit() { Val = OnOffValue.FromBoolean(false) },
new CheckBox(
new AutomaticallySizeFormField(),
new DefaultCheckBoxFormFieldState() { Val = OnOffValue.FromBoolean(false) }))
)
{
FieldCharType = FieldCharValues.Begin
}
);
var run2 = new Run(new FieldCode(" FORMCHECKBOX ") { Space = SpaceProcessingModeValues.Preserve });
var run3 = new Run(new FieldChar() { FieldCharType = FieldCharValues.End });
var run4 = new Run(new Text(textAfterTextbox));
var element =
new Paragraph(
run1,
new BookmarkStart() { Name = internalName, Id = new StringValue(internalId.ToString()) },
run2,
run3,
new BookmarkEnd() { Id = new StringValue(internalId.ToString()) },
run4
);
return element;
}