QB Issue Resolution:
No, you can install your license on the new PC as long as they are compatible (e.g., if your year of QB is supported on the OS of the new PC).
Resolution for Issue 'If my PC dies, do I have to buy another copy of Desktop Pro?' available: Yes (Solved).
Source: Intuit Community forum.
If my PC dies, do I have to buy another copy of Desktop Pro?: this issue or error code is a known issue in Quickbooks Online (QBO) and/or Quickbooks. Support for this issue is available either by self-service or paid support options. Experts are available to resolve your Quickbooks issue to ensure minimal downtime and continue running your business. First try to resolve the issue yourself by looking for a resolution described below. If it is a complex issue or you are unable to solve the issue, you may contact us by clicking here or by using other support options.Support for compatible
Quickbooks Repair Pro will resolve it efficiently and affordably. Guaranteed resolution of your issue, or you pay nothing!
Error Recovery for compatible [Canada]
E-Tech is the #1 Quickbooks data migration and Conversion service provider.
Additional Support Options: