Well done for passing your driving test.
It normally only takes a couple of weeks for your new full driving licence to come through, so it should be with you shortly.
Re your email - give DVSA a ring in office hours Tel 0300 200 1122 and just check they have your correct email address. You can ask again for a copy of the exam record, but usually if it is a paper test record there is a duplicate sheet which is given to you at the end.