No, you do not have a right to continue employment, unless that is a part of your employment contract
(the non-compete clause does not give you any independent right to continue working during the 2 year non-compete period).
If you believe you have a viable book of business and want to get started either independently or with another firm, I would advise getting a local attorney to take a look at your employment contract (the whole thing), and discuss with you the scope of your business, as well as the nature of your business (can you operate out of a different geographic location and conduct the same type of business for example). A local attorney would be able to go into the details specific to your business and help give you the risk/benefit analysis necessary to make a fully informed decision as to what you are looking at for liability, and what suggestions they may have to help you mitigate your risks. Without the local attorney, you will be left with the general information that I can provide, and the contractual language you can read, but miss the important analysis that happens between the two, in addition to any case law research that is necessary to close the gaps and create a complete opinion for you.
When you are making this kind of a business decision, have a full opinion letter from an attorney can be key as it will make the risk benefit analysis much clearer. While my analysis of the general law is that the non-competition clauses are very hard to get around may be helpful in understanding how these work, it does not help you in understanding how you can work around yours, and what type of actual liability you may be facing if you are found in breach of the contract.
Unfortunately, I am not permitted to give specific referrals on this forum. I can however give you a couple of sites that will be helpful in locating a local attorney. You can find attorneys on your State Bar Association’s website: (http://www.lsba.org/MembershipDirectory/LawyerReferralInformation.asp?Menu=PR); Martindale Hubble: (http://www.martindale.com/); or, on AVVO: (http://www.avvo.com/find-a-lawyer).
To keep costs down, I recommend finding an attorney that is working in a small firm or as a solo practitioner. A newer attorney usually charges slightly less than a more experienced attorney, while the more experienced attorneys are usually a little more efficient. In the end, you need to find an attorney that you feel comfortable with, and it is okay to speak with more than one before retaining one.
A consultation for an issue such as this should not take more than an hour or two of an experienced employment law attorney's time as this is not an unusual or unique issue. It would probably be a good investment (and you can think of it as start up costs for your new venture).