Ya know ... lots of guys here recommend Fluke meters and shun the cheap ones. I used a Fluke at work. I have nothing but "cheaper" meters at home. Actually 3 of them. Two are older meters, from Rat Shack, bought years ago, probably both in the early and mid 90's. One is a 2 year old Tenma. I wont argue with the Flukes being better meters or the cheap ones often being junk ... the modern cheap ones especially. Actually, those two Rat Shack meters werent exactly "cheap" (over $50 for each, one was $70 if memory serves), neither was the Tenma. They were very cheap relative to a comparably featured Fluke. One of the Rat Shack meters reminds me very much of a Fluke and may well have been made by Fluke for all I know (edit, out of curiosity, I checked, it's not made by Fluke but they tried to make it look like it could have been ... on the older models anyway). The other is a true RMS meter. But anyway ... get your Fluke working, obviously they are good meters. And good to hear that it was the meter and not you.
By the way, both those R.S. meters still work fine. It's the newer Tenma that is a piece of junk and works when it wants to. All that said, my recommendation would be with the rest for a Fluke or other quality meter, not a cheapie. I dont need a Fluke as I know those two older meters are good. But I wouldnt trust the cheap meters made today. That Tenma was a waste of $40 that could have been put toward a Fluke or other quality meter. I only bought it because I thought the one RS meter was going (it was a lead) and I couldnt find the other at the time.
Now that you have the resistance checks done, and I assume OK, get that Fluke up and running and check those voltages.