The documentation for 8.0 shows:   SQL Server 2005 SP1 is required for using SQL Server 2005 as the database. So SP4 might work, but it has not been validated.  Most likely it will be fine.  Just make sure you are running a default instance. Dell recommends you update ITA to the latest version, 8.9.  Unless you are managing servers older than the 8th generation (PE1750, PE2650, etc.) you will probably not experience any issues as long as you update OMSA to 6.5 and your OS is at the latest Service Pack.
(1) Is version 8.0.2 of Dell ITA supported by Dell? (2) Whether yes or no to the above, Does ITA version 8.0.2 support  running on SQL Server 2005, SP4 (9.00.5000)?The reason I am asking is that we are now running Does ITA version 8.0.2, using SQL server 2005, SP3 and the database guys want to upgrade the SQL server to SQL Server 2005, SP4 (9.00.5000) to bring to their suport level.  
Is version 8.0.2 of Dell ITA supported by Dell?