|You aren't using a wiring "standard" on your cables and probably should.|
As RTAdam's said, it's not absolutely necessary as long as both ends are wired the same. BUT, if you have enough RJ-45 ends to do the job, I'd redo it correctly.
There are a plethora of sites online that detail the color schems for both A and B. Find one and do the ends up correctly. You may just find that it does indeed make a difference.
If you have a tester and the cables test OK on it....you don't need a multimeter. I suspect your tester is probably of the "blinking light" variety and doesn't test much except the ability to pump some electrons through. If you have access to a good tester that test's everything, I'd try that instead as it may tell you what, if anything, is wrong with your cables.
A "Limited Connectivity" message could mean something other than the cable is the problem. If you've connected your computer to the router directly with a premade cable as per RTAdam's instructions above and still get that message you've ruled out the cable and that leaves the NIC in the computer and the router itself. If your router is the variety with 4 LAN ports, try each and every one.