my only question is how accurate the standard bars are that came with them. There was no certificate in the box.
Thats a tough one, I come across a lot of these mic. sets and having to do what you just did. I probably have serviced 20+ or so mic.'s this spring. Really important to remove that grease as that sticky hard to turn thimble can wear out the very important threads, damaging them or bend them while trying to do so and then the thimble rubs on the sleeve. First thing before turning, I tend to shoot a bunch Tri-Flow (as much as I can patiently) between the sleeve and thimble and where the spindle comes out and then let it sit for a couple of days or more. That usually will always loosen them up and then you wont have to do that dreaded hard cranking on the thimble with a wrench, some thimbles are totally glued in, rock hard. You've already serviced them so info above is mute but hopefully others will find it useful.
In regards to included B&S standards, they're a **** shoot. This week I actually tried using older HSS 2" and 3" B&S and they were hard to use and were off 4 of 5 tries. The tips have a slight dome to them and like you experienced they like to walk giving you off measurements leaving you scratching your head. I have several round 1.000" B&S standards and four are off.
If you have a surface plate, try laying the micrometer flat, thimble off the edge to turn and try checking that way, you may need to shim the standard to be level with the anvils; this helps from keeping them from walking. If you have ledges on you plate, maybe clamp the Standard to keep from walking living you hands free to use mic.
I actually gave up with them and used a set of Mitutoyo's from another set but not before pulling out my good gage blocks which go up to 6" . Those worked well and agreed with the Mitutoyo's.
I have gotten Mic. set's and some of included standards are off, it's not uncommon but I'll also get set with beautiful carbide and very accurate standards. Long standards are hard to test, slightest angle throws them off which is easy to do
Your mic's are probably only .001" so as an example you can get away combining your 4" & 3" gage blocks to measure your 7" in the surface plate.....etc. I used my 6" & 4" for 10" mic