Hello, H.as
Welcome to Microsoft Community.
I realize that you have encountered a problem that **although you have deleted the license from old laptop, you still have trouble activating Office Home & Student 2019 on your new computer.**I understand how you feel.
Office Home & Student 2019 can only be activated on one device. Even if you have removed the license from the old laptop, you may still receive the "exceeded the limits" error message.
Since the activation process involves privacy information such as licensing and device information, it cannot be directly operated in this community.
Please contact Microsoft Online Chat Support to assist you activate Office Home & Student 2019.
I will guide you to the right place.
- Visit this website: Contact Us - Microsoft Support.
- Sign in with your personal Microsoft account.

- Enter your issue in the search box. For example, Office.
- Click Get Help, then click Contact Supp ort at the bottom of the page.

- Under Products and services, select Microsoft 365 and Office.
- Under Category, select Manage my subscription.
- Click Confirm.

- Select Chat with a support agent in a web browser.

Please note: The Chat support team only works at certain times, so if the last window says you are not available, try to open it again the next day.
Thank you for your understanding and cooperation. I hope your problem will be resolved successfully.
Best wishes,
Lucia Wu - MSFT | Microsoft Community Support Specialist