I think you will have to loop over the "inserted" table, which contains all rows that were updated. You can use a WHERE loop, or a WITH statement if your primary key is a GUID. This is the simpler (for me) to write, so here is my example. We use this approach, so I know for a fact it works fine.
ALTER TRIGGER [dbo].[RA2Newsletter] ON [dbo].[Reiseagent]
AFTER INSERT
AS
-- This is your primary key. I assume INT, but initialize
-- to minimum value for the type you are using.
DECLARE @rAgent_ID INT = 0
-- Looping variable.
DECLARE @i INT = 0
-- Count of rows affected for looping over
DECLARE @count INT
-- These are your old variables.
DECLARE @rAgent_Name NVARCHAR(50)
DECLARE @rAgent_Email NVARCHAR(50)
DECLARE @rAgent_IP NVARCHAR(50)
DECLARE @hotelID INT
DECLARE @retval INT
BEGIN
SET NOCOUNT ON ;
-- Get count of affected rows
SELECT @Count = Count(rAgent_ID)
FROM inserted
-- Loop over rows affected
WHILE @i < @count
BEGIN
-- Get the next rAgent_ID
SELECT TOP 1
@rAgent_ID = rAgent_ID
FROM inserted
WHERE rAgent_ID > @rAgent_ID
ORDER BY rAgent_ID ASC
-- Populate values for the current row
SELECT @rAgent_Name = rAgent_Name,
@rAgent_Email = rAgent_Email,
@rAgent_IP = rAgent_IP,
@hotelID = hotelID
FROM Inserted
WHERE rAgent_ID = @rAgent_ID
-- Run your stored procedure
EXEC insert2Newsletter '', '', @rAgent_Name, @rAgent_Email,
@rAgent_IP, @hotelID, 'RA', @retval
-- Set up next iteration
SET @i = @i + 1
END
END
GO
I sure hope this helps you out. Cheers!