Thank you for your response. I am no longer subscribed to InDesign on my PC (I paid twice for the monthly subscription.) Now I am working with a trial of InDesign (Mac version) on my new computer. I am not sure I will be able to access the fonts from my PC and import them to this version, but I can give it a try later today.
I did notice that the fonts turned up OK when I opened a PDF I had embedded from my PC on my new Mac. If in fact embedding to a PDF will make the fonts appear OK across all computers/platforms, then that is great news as far as feeling OK about the send-off phase.