We just got through to British Air, regarding our canceled April 13 flights. My husband initially made three attempts, over half an hour, and couldn't even get put on hold. Finally, about 9:30 am CA time, he was put on hold, and waited about 30 minutes. The call center was on the East Coast.
Once he had an airline agent, he was on the phone about 10 minutes. We received a refund of our money and Avios points. The cash refund will go to Paypal, [and then to our Visa.] The BA staffer was quite professional and friendly.
Overall, it was not as difficult as expected. Good luck to you all!