Your TA would be declined as it is not continuos. Your letter misses the "lead statement", and it will be rejected most probably. I suggest you to provide them with an updated one as soon as you get your PER. In your updated letter keep the same RA duties, but if I were you, I would list them using bullet points to be easier to read. It is safer if you cut some of the technical information you provided about your project. It is just going to make your letter longer, and it is not interesting for the officer. Remember, they just spend a few minutes on your letter, and that information might just distract officer's attention. Try to express the lead statement, RA duties, hours spent, and employment duration as clean as possible, and easy to find and easy to read. Other information will not gain you anything.