Yes 2BA they are.
If they are not too bad put a strand of copper wire through the nut then run the screw through.
You might need to do it a couple of times.
You will not find BA inserts and if you do it will be BSF not BA.
You can also tin the hole if you are good with solder then run a tap down them.
30/70 solder commonly called radiator solder will do the job just fine.
Don't forget the outer.
Most of the holes will be dimpled a little so will require a few taps with the hammer with a dolly ( commonly called bolt head ) underneath to return the hole to being flat with the cover.
The BSA parts books identify them as 3/16" so I think that they were originally 3/16" Cycle (32 tpi) .
2BA is very close to that but slightly smaller in dia and has a slightly sharper thread form.
Once manufacturing tolerances come into play 2BA will fit fine with good female nuts but I have personally had good success with using 10-32 UNF which is slightly larger than 3/16" and has a 60degree thread form and 32tpi.
My primary now has all 10-32 UNF Fillester head screws and they fit very nicely without touching the female nuts - worth a try given they are relatively common screw size.