Wow playing with a 7 day old? Heaps of time for that! Just enjoy your baby snuggles and if she falls asleep while feeding, then so be it! My DD3 (the only one I successfully breastfed) took all her day naps on me and fed to sleep up until about 7 months. Then I used to feed her to sleep on the bed and escape after she had fallen asleep.

She weaned when I fell pregnant with this one, so just before 23 months. Make the most of it I say - you'll miss it when they grow up!

Whatever works for you is THE best thing to do. Don't worry about the feed/play/sleep thing yet - plenty of time to worry about that later.