The US making deals with Hamas outside of Israel is something the Gulf States and SA wanted. It is typically Trump he wants to stay a neutral peacemaker like in Ukraine.
Don't know... Russia's demands were made conditional even before prospective talks if any, including: 1. no NATO membership 2. all the captured territories including Crimea stay with Russia
Trump kept praising Putin and berating Zelenskyy, ganging up on him at that fiery White House meeting including that he was the obstacle to peace.