A:AnswerYes.
"AMD Socket AM5 (LGA 1718) is the next-generation socket designed to support next-generation AMD Ryzen™ 7000 desktop processors (Zen 4). AMD Socket AM5 uses the same liquid cooler bracket as Socket AM4"
A:AnswerYes, it comes with a small syringe (compared to a retail bottle/syringe) that will be plenty to use and still have some left over for another time. The brand is not on the syringe so I do not know what brand is actually included.
A:AnswerDepending on the case, but if it fits then... Yes you can, mount it either way! Convection will be naturally working against it as Heat rises if you choose to intake into the top of the case and exhaust in the back/front or whatever, but it wouldn't be much of a factor honestly.