First and foremost there is nothing in your question that even hints that your employer is asking or forcing you to give up your rights. But if you truly feel that they are, you should seek advice from an attorney specializing in intellectual property (IP) and perhaps an employment attorney as well. StackExchange is NOT the place for legal advice, only a licensed professional can provide that.
The above aside, the requirements that you outline in your question seem to me to be your employer's reasonable due diligence to protect themselves, and by extension, you. You have an experienced and professional public relations team at your disposal, why not take advantage of the free services being offered to you?