From the brief portion that you've cited it sounds to me like your employer would be required to pay you if you continued to work the last 2 weeks (but not if you don't work). However, keep in mind that if you think you have been terminated wrongfully or are due some compensation because the termination was not done appropriately an attorney practicing in employment law would be able to review your case and give you an indication of your chances of success. Good luck!
Providing this general response does not create an attorney client relationship.
I agree with the previous answer, and would add that you should consult with an attorney to review the rest of the employment agreement just to be sure there aren't any provisions that allow the employer to terminate, effective immediately, under certain circumstances. If there isn't any such provision, then it sounds like you have a legitimate claim to receive the two week pay and if your employer doesn't pay, then he is in breach of the employment agreement and you can sue for damages that result from the breach.
It's best to sit down with an attorney and look over the contract.
I am not clear from your question whether you or the employer terminated the relationship. Regardless, the operative language in the agreement you cite is "If requested by the employer, [...]" In other words, it appears that, if the employer does not ask you to continue working during the notice period, they arguably are not obligated to pay you. You should consult with an employment attorney in your area to obtain a more definitive answer. Make sure you bring the agreement with you to the appointment.