The best results that I have had for loosening small fasteners like yours is to use penetrating oil. I normally use PB Blaster, but there are others. The first problem you have is getting the oil into the threads below the assembly. Using a tube on the spray nozzle can help. You might want to remove the lines first so that they don't get soaked with the oil.
Tapping down on the head of the bolt can also help by encouraging the oil to penetrate.
But the real trick is to use a small impact driver like the 18V Ryobi tool. They turn and pound at the same time. A plain old electric drill will just strip the heads. It is this shock plus torque in concert with the oil that is most effective. And the bonus is that with limited torque the heads are much less likely to strip. I have twisted the head off of bolts and then using a impact driver on a similar bolt having it backed out without breaking.
YMMV, of course.
Those screws are stainless and they are likely threaded into an aluminum plate that is glassed into the structure. Aluminum and stainless don't play well together, hence the corrosion and jammed up threads.
And once you get the bolts out, re-install with Tel-Gel or some other anti-seizing compound to avoid future difficulties.