多謝movetousa, 長知識了。不過，

Service Canada uses the information given on the Record of Employment (ROE) for determining whether people are eligible for receiving Employment Insurance (EI) benefits. https://www.immigration.ca/records-employment-roes

建議樓主詳細了解一下搬家是否能依然得到EI，如果可能，找個律師問一下。或到隔壁法壇問一下（挨了罵別怨我哈）。