Sounds like you're already making progress! Looks like the only thing that might hold you back is the B+
Anyways, I brought the tube tester down to Peoria with me, and I have tube data for the 01A tube, and it matches with tube data online - so we can at least test your tubes and see what we have. I've never tested 4 pin tubes on my Heathkit before, so I can only assume that section of the tester is working as well as the 9 pin and 8 pin sections are.
If you're available tonight, or Monday night, I can swing by your place.
On a side note - since I last used this tester, it looks like people have scanned and posted the build guides and refurb guides, as well as calibration information for my tube tester. So it looks like that's getting added to my long list of projects. When i got this tester back in...2004 I think it was, I did replace some suspect caps, but that was it...nobody wanted to share refurb data back then.