Thank you for trusting your question to JA today. I am a licensed attorney with over a decade of law practice and over 20 years of experience in the legal field. I’m happy to be of assistance.
No, you were not actually fired. You resigned and gave two weeks notice. This is actually a commonly (and understandably) misunderstood issue.
What most people don't realize though is that your notice period isn't something the employer is legally required to accept. What you are technically doing when you give notice is you are immediately resigning and then making an offer to the employer to work an additional two weeks, if the employer wants you to.
The employer is not obligated to allow you to work out the notice and their decision to not allow you to does not convert a resignation into a termination.
So unfortunately no, you were not terminated and are not eligible for unemployment.
If you have any further questions, please let me know. I invite follow up questions, so use REPLY for those. If you have no further questions then good luck going forward and please do not forget to rate my service with a three, a four or preferably a five star rating so that I receive credit for working with you today. Please rate me based on my service and not on your satisfaction with the law, which I am not in control of and I am just reporting to you. Also, feel free to request me in the future, if you have questions concerning a different matter.