Before anything else, I have to say that either I have missed a major spinoff thread, or you have not provided the answer to key questions and a lot of unsubstantiated assumptions are being made. Let's see what we can do:
Here is what I deduced from your original post:
1. You are describing a problem that has only appeared since you have upgraded to Windows 10.
2. Each machine was upgraded to Windows 10 using its own connection to the internet and connecting to the Microsoft website.
If you used a single DVD or jump-drive to upgrade all three machines, then the installation software might have an error in it that is causing the problem, or contains malware.
3. At least one machine is substantially different from the others: Different manufacturer at best, or at least different machine types (Dell Inspiron vs Dell Vostro, for example).
If the machines are app-identical (same OS, same installed apps), then the problem is really occurring on "one machine". That suggests that either one of the apps is interfering with the mouse drivers or malware.
4. The systems were not clones of one another.
If the systems were clones of each other, then the problem is really with only 1 OS rather than 3.
5. At least one mouse is substantially different from the others: Different manufacturer and different connection type (wired, bluetooth, wireless, touchpad).
If the mice are all from the same manufacturer (one that is non a familiar brand, perhaps), that would suggest the problem could be with the mouse.
Now ways to check things.
1st: Quick and easiest. Get a cheap brand-name plug-n-play mouse that doesn't come with any special drivers, and which says it's ready for Windows 10. It's worth the $5 to $15 investment (but you also might be able to borrow one from a friend or perhaps you have an old standby wired mouse of your own). Plug it in. If it works, then you need to explore the possibilities of issues with your other mice. If not, then the problem is almost certainly in the system (malware or improper installation).
If you now know that your computers work with one kind of mouse, but not others, then the question is: are the nonfunctional mice intended for Windows 10? A google-search will quickly help you there. If no one else has even found a post-worthy problem with these mice, then it almost certainly is something specific to your system. On the other hand, if a couple hundred other people are having the same problem, then the issue is probably with the manufacturer who is either not providing appropriate drivers or who is no longer in business. This is unusual, however, because most mice are basic things designed to do a simple job and have been plug&play over numerous iterations of Windows including the current ones. The exception would be specialty mice (game-oriented, 3D capable, highly modifiable) -- if these are no longer supported, then you have good paperweights and that Google search should have revealed this.
What about malware? This is a serious question with serious implications. The first implication would be the depth of infection. The fact that three machines are similarly infected implies that you have a deep infection, one that allows one computer to pass on an infection to other the others (via network if all three computers are networked) or via the right kind of jump-drive. It is also possible that you downloaded the malware yourself unwittingly by accessing the same infected site from each of your three computers or reading the same interesting email on each of your machines or by downloading the same infected app onto each of your machines. A third possibility is that all your machines were infected before the upgrade but some change in the upgrade cause the hidden malware to make itself visible through this aberrant behavior.
Checking for malware with all the various possibilities I mentioned is a large subject beyond this post. If you suspect malware, Google the subject. [In my opinion the single best site that is absolutely trustworthy to help you for free is www.bleepingcomputer.com. Follow their steps absolutely and you will be able to identify and deal with almost anything down to one of the most virulent categories of the malware family (rootkits). Warning: Don't post a problem there and then ignore their follow up. They will ask questions and solicit information and tell you how to collect it; and they will expect that the problem is serious enough that you aren't going to dawdle during the process.]
What if you are frustrated with all this and simply can't work your way around this? Microsoft will help. For free. Quickly. On your computer, left-click on the start button. Type: Get Help. The Virtual Assistant will pop up. "She" will ask for your problem. Type: Mouse doesn't work properly. You can then try some of her generic solutions. If they don't work, she will escalate you to a real person and they will take it from there.