And from the Kodak site it says the driver for the 3250 is not compatible with Win 10.
That's why I never bother with believing that crap (was initially the same with 8 & 8.1) until I try it myself. Successfully installed on 10 Pro.
Didn't even have to use Compatibility Mode.
Now as to the OP's issue, I provided step by step instructions on how to install that Kodak in another Topic, and went though the trouble of installing it on my Linux Mint 17 install (wired, not networked), of which it had never been on until then to verify what I posted was correct.
One thing that I believe is messing up the OP, there is no 'AIO' software on Linux installs, that's Windows (& maybe Mac) software only. The only thing that's 'AIO' about the printer is that one doesn't need the PC on to perform certain functions, such as printing from an SD card, or making copies of existing documents. There is no Kodak AIO Home Center for LInux Mint, nor other Linux based OS's.
My suggestion is to ensure the printer still works on a Windows computer, and go back and follow the steps in that other Topic, I believe in Post #52. It's important (in the Package Manager) to right click onto the installed items as advised & see/install the other packages recommended/suggested.
If the printer driver (printer-driver-c2esp) shows, but not installed (if installed, there will be a green folder icon to the left), right click & choose 'Mark for Installation', then Apply. Now right click on the folder again & go down to 'Mark Recommend for Installation' & choose the package(s) shown, same with 'Mark Suggested for Installation', click what's shown on both & then Apply. Mine shows it's installed, but since I've not used the printer on this install, don't know if it works or not, yet that's a starting point. Once installed, or verified that it is, close the Package Manager, turn on your printer & then go to Administration > Printers. If not shown, click the Add tab & see what happens.
That's exactly what I did & here was the result, all done within the typing of that post.
I've just went through a moderate amount of work to see if it prints (including that of above), disconnecting from router's shareport & plugging into my this PC, it works!
Now, I'm not a Linux 'guru', so don't know how to produce the system logs (in any way), just have been running the OS for nearly 7 years fairly much trouble free, yes there's a couple of things that doesn't work yet (notably, network printing), yet that doesn't stop me from using it. Should I need to print while on Linux Mint, will simply disconnect the printer cord from the router's USB shareport & attach to my PC & print away, thanks to the OP. Had this issue not been brought forward, could never had penned the 2nd quote in this post.
I guess it's safe to say that I'm not concerned about system logs because I have few issues, and when so, will figure it out. Have done a lot on my own, by reading the materials in the Topics, and articles on the Internet, should I rarely get stuck, will ask for assistance. A lot of the learning about using Linux is having the will to get things done, though much is simple, including installing this printer. It was published that the Kodak printer wouldn't work on Windows 10, I defied the odds (even the SD/MMC port shows), that's all a conspiracy between Microsoft & all of the various OEM's to compel consumers to waste money by not even trying the printer(s)/other accessories owned & taking their word as gold. It's also said to be not so Linux friendly, again beat the odds. No, it doesn't do all of the things that some of the approved HP models does, yet for my needs, is plenty enough.
Consumers needs to wake up & stop believing everything that Microsoft says (or arm twists corporations into saying, to keep their 'partner' OEM status) & think for themselves. I had another printer (Dell 720 Photo Printer) that ran on all OS's from Windows 2000 Pro through 8.1. The only reason why I got rid of it was ink pricing & quality thereof. It likely would had ran on 10 also, using the Vista drivers that was used on that OS through 8.1. It also ran on 32 bit Linux Mint, though nowhere as good as the Kodak.
It's time to get this printer rolling, there were 3-4 pages devoted to it in the other Topic, we don't want this one to extend that far, unless it's productive. Really, this is a 15 minute job tops, even for a newbie. I done it in less than 10, including finishing that post.
dannyboy950, please again take the time to read the 2nd quote above & revisit Post #52 in your other Topic & repeat all steps listed, It's exactly how I installed mine to the letter. You must make sure your printer is on when these things are being done, and under Administration > Printers, if you don't see yours, click 'Add' or 'Add Printer', that may help it show to print a test page.