Something like this? http://www.sqlfiddle.com/#!3/81945/14
SELECT
[final].*,
[last].total_rows
FROM
tblEventInfo AS [final]
INNER JOIN
(
SELECT
[first_of_last].type_id,
[first_of_last].invoice,
MAX([all_of_last].event_date) AS event_date,
COUNT(*) AS total_rows
FROM
(
SELECT
[current].type_id,
[current].invoice,
MAX([current].event_date) AS event_date
FROM
tblEventInfo AS [current]
LEFT JOIN
tblEventInfo AS [previous]
ON [previous].type_id = [current].type_id
AND [previous].invoice = [current].invoice
AND [previous].event_date = [current].event_date-1
WHERE
[current].type_id = 11
AND [previous].type_id IS NULL
GROUP BY
[current].type_id,
[current].invoice
)
AS [first_of_last]
INNER JOIN
tblEventInfo AS [all_of_last]
ON [all_of_last].type_id = [first_of_last].type_id
AND [all_of_last].invoice = [first_of_last].invoice
AND [all_of_last].event_date >= [first_of_last].event_date
GROUP BY
[first_of_last].type_id,
[first_of_last].invoice
)
AS [last]
ON [last].type_id = [final].type_id
AND [last].invoice = [final].invoice
AND [last].event_date = [final].event_date
The inner most query looks up the starting record of the last block of consecutive records.
Then that joins on to all the records in that block of consecutive records, giving the final date and the count of rows (consecutive days).
Then that joins on to the row for the last day to get the message, etc.
Make sure that in reality you have an index on (type_id, invoice, event_date)
.