Honestly, for your situation (which is similar to mine though I like to work on them a bit more, but only as a hobby), just do a tube swap and toss the bad tube, if that's the actual problem.
Actually, go find ANY tube+yoke that is closely compatable and quickly swap it in, before even doing any cap kits or other diagnosis. The time will be about 40 minutes start to finish even for a novice.
Even if the yoke isn't the best (geometic problems), you can see if the other tube causes the same focus problems. That way you'll know if it's the tube or if it's the flyback/cap kit/other problems.
If it is the tube and no geometric problems, TADA you're done. if it is the tube with geo problems, look for another tube+yoke that is closer to the same resistance, or do a yoke swap.
If it's the chassis then swap back in the original tube and then do a cap kit and go from there.
Good luck!