Sabotage Storage Rack Controls
As soon as you enter the elevator at the end of the hall, you'll skip over the whole "Locate Storage Rack" objective and move right on to the whole sabotaging thing. The slicable console is at around the corner from your location, but proceed slowly, as there are a few battle droids in the area. Although they're easy to cut through when you have a whole squad at your disposal, they're more dangerous when they're all firing at you at once, so use cover and take them down one by one before accessing the console.
When the sabotage is complete, find the next small elevator and ride up to the rendezvous with your squadmates. Of course, nothing is simple about moving around on a heavily-defended Coreship, so you'll have to face off against more of the SBD defenders, but most of them should be damaged by your sabotage attempts, allowing you to finish them off with grenades and blaster fire. You'll need to destroy two before you come to a junction that requires a detonation charge; laying the charge and blowing it will destroy the SBD on the other side without requiring you to fire at it.
After that, you have a short sprint to the finish line, which consists of another elevator. There are two more SBDs in your way, unfortunately, but if you wish, you can just run past them. The one in the middle of the corridor will be crushed by a swinging piece of infrastructure, conveniently enough, but be careful not to get hit by it yourself, as it is an instant kill.
Waking the Giant
Rendezvous With Squad
Now that you've all completed your individual objectives, it's time to get your squad back together and get the launch codes for the ship before the whole place goes sky-high. To begin with, let the first squad of battle droids run past the elevator; they'll all be crushed by a piece of machinery down the hall. You can't get so lucky with the next squad that you encounter, but feel free to take them all out with thermal detonators, since there's another box of them around the corner from this little firefight.
Further down the hallway, you'll meet up with Sev, who'll handily dispose of a droideka that's rolling along the path. Soon enough, though, its teammates will roll back to your position and open fire. Droidekas are unique among the enemy droids in that they have personal shielding, which makes them difficult to kill with simple rifle fire. EC grenades are thus your weapon of course, or at least they should be, since they overload the shields and let you fire directly at the mechanical guts of the beast. Failing that, thermal detonators will also do a good bit of damage in their own right.
When the two droidekas are down, start taking out the rest of the droids further down the hallway and move on. You'll eventually come to another squadron of droids at an intersection that have 40 and 62 pinned down. Another EC grenade in the middle of the group will let you slice and dice them quite nicely, and you'll be able to refill your supply of said grenades nearby, so feel free to use all of them up, if you wish.
Locate Loading Substation
When you have your squad back together, it's time to pay the back taxes for the orphanage. Er, it's time to set one of your squaddies in sniping mode, then trigger the appearance of more droids by walking down the hallway nearby. If you proceed far enough, you'll run into a droideka, but so long as you have the sniper set up back down the hallway, you should be able to wear it down with simple blaster fire.
When that's done, move beyond its wreckage and quickly set up two of your squaddies in the sniping spots you find. One of the droid dispensers will quickly come out to play at this point and will spit out an infinite number of battle droids if you don't take it down. To do so, command your third squaddie to lay a charge on the dispenser, then give him cover fire while he does so; between yourself and the two snipers, you should be able to cover him without a problem. Destroy the dispenser to move on.
Beyond the next room, there's another small squad of battle droids, along with an SBD, so be ready for a fight after you slice through the door. There's an even worse fight on the way, though, so after the SBD is down, heal up all of your guys and set them to guard a position near the door before moving on yourself. Doing so will trigger the appearance of a few more battle droids, as well as a Geonosian Elite; the latter will be trouble for you, since there's not much available cover in the area. Still, with four soldiers blasting away at him, he shouldn't last too long. If you happen to still have one of the Elite lasers from earlier, feel free to use it on him, then pick up the one that he drops for a refill of ammunition.