Ok I looked at your pictures more closely. I would pull the siding in that area and replace the rotten portion of the 6x6 from the outside. DONT mess with the 2x's that are basically holding everything up.
The jacks would be used to bring everything back to level. From the picture it looks like that corner is sagging down a little.
I used 5 screw jacks and left one in the wall because I was afraid to remove it. You won't need that many... Maybe 3? Definitely get the tall ones. I made the mistake of using the shorties.
I'll warn you that my project took the entire summer. It's a beast of a job, but tearing out rotten wood is very cathartic. I had 2 layers of tongue and groove planks to rip out of the interior followed by about 30 garbage bags full of crumpled newspapers from 1937. Does using newspaper as insulation make you a mustachian?
Yours shouldn't take that long. $7500 seems a little high depending on where you live, but a contractor might need to hire an engineer, get permits, blah blah. I skipped all that garbage.