I'll join you here and help with your question about adding multiple addresses in QBO, Gary.
We can only add or save one shipping and billing address per customer profile at the moment.
Although, you can utilize the Notes and attachments section in the customer profile to put in the other service address. However, this information will not show up when creating transactions. It's mainly used for record keeping purposes at the moment.
You can also send feedback or a feature request about this to our product engineers about this. Let me share this article as a guide: How Do I Submit Feedback?.
In case you require more information about managing addresses in QBO, I'll also provide you with these articles: