The error message "Parameter count does not match Parameter Value count" indicates that DNN is calling a stored procedure with a different number of parameters than the stored procedure actually requires - which points to a problem with your database.  It looks as though one or more table changes and/or stored procedures were not upgraded when you upgraded the documents module.

This issue is difficult to resolve without the error log from when you installed the module.  If this happened to me, I'd install a new DNN instance on my local machine, then use Red Gate SQL Compare to compare the schema of the local copy with the "live" database and generate SQL to make them match.  It may be that only the AddDocument stored procedure is affected - if this is true, you can just find the most recent "AddDocument" SQL from the .SqlDataProvider files and run it in Host->SQL.  But if one thing failed, then probably something else did, too.

Here's the SQL for AddDocument:

ALTER  PROCEDURE dbo.AddDocument
@ModuleId         INT,
@Title            nvarchar(150),
@URL              nvarchar(250),
@UserId           INT,
@OwnedByUserId    INT,
@Category         nvarchar(50),
@SortOrderIndex   INT,
@Description      nvarchar(255)
AS
INSERT INTO dbo.Documents (
  ModuleId,
  Title,
  URL,
  CreatedByUserID,
  CreatedDate,
  Category,
  OwnedByUserID,
  ModifiedByUserID,
  ModifiedDate,
  SortOrderIndex,
  Description
)
VALUES (
  @ModuleId,
  @Title,
  @URL,
  @UserId,
  getdate(),
  @Category,
  @OwnedByUserId,
  @UserId,
  getdate(),
  @SortOrderIndex,
  @Description
)
SELECT SCOPE_IDENTITY()

GO