Does the street car run near the Deli

Yes but it might still be a bit of a hike if you're extremely obese

Yes. Very short walk from Woodruff

Yes

Yes, you could get off at the Woodruff stop, which is on Peachtree and Lucky

Depending on what direction you're coming from, it will drop off at Peachtree and Auburn/Luckie. Walk across Peachtree and you'll be a block from Reuben's (yum!).