There are in fact FOUR quests tied to the Tank RAID.
• Jedi Knight Quest 4/4 - Earn rank 10 or higher 5 times in the HAAT Raid
• Jedi Master Quest 1/4 - Earn rank 3 or Better 3 times in the HAAT Raid
• Jedi Master Quest 4/4 - Earn Rank 1 in the HAAT Raid
If you have purchased the hyperdrive bundle (and have beaten the Rancor Situational Awareness Quest) there is one more:
• Situational Awareness - Destroy the AAT's turret 10 times
With simming the raid, with time, you will eventually pass the first three quests. However, you will have to run a Tank raid manually to beat the last one. Technically speaking, if you know what you are doing, it is possible to Destroy the AAT's turret 5 times during phase 2 and 5 times during phase 4.