Your first battle encounter is with HK-Taskmaster

The SK-21 Support Droid to the side of him will one by one become active to attack, kill them and then kill the HK-Taskmaster

The next encounter is with AK-Prime.

AK-Prime has HK-77 assault droids protecting him, ignore the HK-77 droids and focus on AK-Prime.
AK-Prime will occasionally use a Fire Bomb that can deal significant damage and leave you with a Fire DoT (Damage over Time).
You may want to cure the Fire DoT with Detox, Cure Affliction, Hermetic Touch, or Run Its Course.

The next encounter is with Forward Commander MK II.

This encounter is boring the HK-77 assault droid are weak and you must kill them 1 by 1 before you can attack the Forward Commander MK II.
During the final phase of the battle with Forward Commander MK II the dead HK-77 assault droid resurrect and you will need to kill them again.

Next encounter is with CY-M Prototype.

Modeled after the Kubaza Beetle Foreman, he will call denizens to help ie Kubaza Beetles, these will run up and attack and occasionally explode.
Focus on CY-M Prototype until he is dead, if you have trouble staying alive move around.

Next encounter is with GK Oppressor.

After battling GK Oppressor for a bit you will encounter GK-18 Sentinels and GK-14 Defenders. They will deal debuffs to you reducing your damage output.
All the Defenders and Sentinels must die before you can finish off GK Oppressor, then you will have another round of Defenders and Sentinels to kill.

Final encounter HK-47 is trying to escape calling in a YT-2400 ship.

Kill the HK-77 assault droids and squad leaders then HK-47 becomes attackable and focus everything on him. The longer the battle goes on the more buffs get stripped from your character.

Be sure to loot HK-47 before you leave on the YT-2400. HK-47 drops the Deed for YT-2400 and also A Warmly Glowing Reactive Antidote.

You also receive an additional 100,000 credits and 4 Mustafar Token of Heroism.