Yep, that's all you have to do.
1. Log into your account
2. Navigate down to: Authorisation trouble shooting
3. Fill in the details, choosing anyone of the criteria. (It doesn't really matter what cause you give for wanting a new activation, choose hard drive crash if unsure )
4. Confirm the serial number of your product
5. Wait to get the email
6. Log into your elicenser and add the activation
7. Get down to some banging tunes