TSQL UPDATE field with Count in Subquery

My goal is to look up all previous test a student has taken and see if they are complying with testing policy.  I take the current test and find the date range that it falls in (that is which quarter/year the student took the test) and store this information in UploadVerifyDateRange.  
I then find all other test taken by the student and store them in UploadVerifyAllTestDates.  I then delete the first test and the current test (as it should not be counted as a retest) and count the number of test taken in the date range (C1 below)  I am attempting to update the udr_NumberOfTries from the subquery.  
In Try 1 - it changed all records to 1 (only one recorded matched) so I tried to filter to the correct record by moving the subquery to the FROM clause it won't parse now.  The error is
Msg 208, Level 16, State 1, Line 1
Invalid object name 'T1'.

Table structure is
CREATE TABLE [Placement].[UploadVerifyDateRange](
      [udr_ID] [int] NOT NULL,
      [udr_Department] [varchar](11) COLLATE SQL_Latin1_General_CP1_CI_AS NOT NULL,
      [udr_SID_Verified] [varchar](9) COLLATE SQL_Latin1_General_CP1_CI_AS NOT NULL,
      [udr_StartDate] [datetime] NOT NULL,
      [udr_Enddate] [datetime] NOT NULL,
      [udr_NumberOfRetries] [int] NOT NULL,
      [udr_NumberOfTries] [int] NOT NULL
) ON [PRIMARY]

CREATE TABLE [Placement].[UploadVerifyAllTestDates](
      [uall_RecordIndex] [int] IDENTITY(1,1) NOT NULL,
      [uall_ID] [int] NOT NULL,
      [uall_Department] [varchar](11) COLLATE SQL_Latin1_General_CP1_CI_AS NOT NULL,
      [uall_SID] [varchar](9) COLLATE SQL_Latin1_General_CP1_CI_AS NOT NULL,
      [uall_TestDate] [datetime] NOT NULL
) ON [PRIMARY]
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Try 1
    UPDATE Placement.UploadVerifyDateRange
    SET udr_NumberOfTries =
        (SELECT C1
        FROM Placement.UploadVerifyDateRange INNER JOIN
            (SELECT uall_Department, uall_SID, COUNT(uall_SID) AS C1
             FROM Placement.UploadVerifyAllTestDates INNER JOIN Placement.UploadVerifyDateRange 
             ON ((uall_Department = udr_Department) AND
                 (uall_SID = udr_SID_Verified) AND
                 (udr_StartDate <= uall_TestDate) AND
                 (udr_Enddate > uall_TestDate))
             GROUP BY uall_Department, uall_SID) T1
        ON ((udr_Department = T1.uall_Department) AND 
            (udr_SID_Verified = T1.uall_SID)))
 
Try 2
 
UPDATE Placement.UploadVerifyDateRange
    SET udr_NumberOfTries =
        (SELECT C1
        FROM Placement.UploadVerifyDateRange INNER JOIN T1           
        ON ((udr_Department = T1.uall_Department) AND 
            (udr_SID_Verified = T1.uall_SID)))
    FROM (SELECT uall_Department, uall_SID, COUNT(uall_SID) AS C1
             FROM Placement.UploadVerifyAllTestDates INNER JOIN Placement.UploadVerifyDateRange 
             ON ((uall_Department = udr_Department) AND
                 (uall_SID = udr_SID_Verified) AND
                 (udr_StartDate <= uall_TestDate) AND
                 (udr_Enddate > uall_TestDate))
             GROUP BY uall_Department, uall_SID) T1
    WHERE ((T1.uall_Department = udr_Department) AND
           (T1.uall_SID = udr_SID_Verified))