The US is already a net exporter of crude oil. Also, as a side note, the lowest price of February 2022 (Russian invasion in Ukraine) was 86.55. Ukraine f***ed their refineries which, I believe, lowers the price for crude (because they don't have the capacity to refine, they sell more crude than usual) and should raise the price for refined products, although mostly for their internal market (army included, with a bigger and bigger demand).

PS: You made my day with your second point!