I successfully changed the battery. I had three troublesome spots.
Steps 16-17. The battery was super hard to remove. The battery ended up twisted and bent by the time I got it out. The tab pulled off too. I used a bit of solvent carefully applied with a Q-tip to loosen the glue.I'm grateful the instructions told me where not to pry or I would have ruined something in my attempts to get the battery out.
Step 11. It took me three tries to get the LCD cable back on the connector such that the screen did not show white stripes.
Steps 6 and 7. I had trouble getting the screen to seat correctly. I'm grateful to commenter jaakkohyry on December 31, 2014 for the suggestion to slide the top of the screen in first.