hi,
I am having 4+ years of pure web development experience. had experience with cross browser applications. I have experience in designing web api which used mobile devices also web platform.
Yes, your thinking is correct to combine your application using REST API, and in future if your create third application which want to communicate with existing applications, then it's easier to handle that as well. I will definitely add value over here with my past experience.
Thanks,
Sanjay