So the P1345 was found to be stored in memory? That code indicated a fault in the Camshaft Position Sensor signal which would certainly cause a stalling concern. Sensor is located on the top part of valve cover at the front nearer the drive belts. Three wire connector to it has wire colors Blue, Black w/ Red stripe, and White w/ Red stripe. Try disconnecting at an idle and see how quickly the engine stalls out.
May be that the sensor is getting heat sensitive and on the way out. Hot restart after a good heatsoak and crawling in stop and go traffic with A/C on would be two of the highest heat levels you could obtain underhood. A decent test you could perform would be to just let the engine sit and idle for 20 minutes or so one hot afternoon to get it good and warm. Next use an ordinary hair dryer on hottest setting to blow hot air right on the sensor and see if the stalling reoccurs. Your neighbors might think you have lost your noodles but it might be worth a try.
Don't think the sensor is very expensive but have to wait till morning to give it a check if you are interested. Super easy to replace if you have a 10mm wrench

 P1345 says No SGC signal:
"No SGC signal input from camshaft position sensor while engine rotates five cycles" Possible causes: CMS malfunction / Open or short circuit in wiring from ECM terminal 4A to distributor terminal A / Open or short circuit in wiring ECM terminal 4G to distributor terminal D