I will be traveling with my wife for 7 days in Jordan. I am looking for some feedback on what else to do and feedback on the current plan. Neither one of us has been to the middle east so I definitely want to take in the different life style. Is old town Amman worth spending some time in? We will be in Amman on a Tuesday. Are there any souqs open that day worth doing?

I am also looking for some ideas what to do during day 6. We will be staying the night before inside Wadi Rum in one of those bubble tents. I assume the next morning we will head out right after breakfast and should be in Aqaba later in the morning. Any good recommendation what to do in Aqaba. I will be diving the next day, so I am also looking for a good dive center recommendation.

Day 1: Arrive Monday night at 9 PM at AMM. Pick up rental. Head to IC Amman call it a night.
Day 2: Amman: Visit a souq, if one is open, Citadel, Roman Amphitheater, dinner at Fakhreldin Restaurant. Any other must see items? Old town?
Day 3: Leave Amman early, drive to Mount Nebo, then Wadi Mujib to hike the siq (morning), then back track to the Kempinski Dead Sea
Day 4: Drive to Petra in the morning. Vist Petra. Stay at Crown Plaza Petra. Considering the Petra night show, not sure it is worth it.
Day 5: Drive to Wadi Rum. Do 4x4 / camel rides at Camp.
Day 6: Drive to Aqaba. Is there anything else to see / do on the way?
Day 7: 2-tank boat dive. Any dive center recommendations?
Day 8: Drop off rental, leave AQJ at 9:00 AM.