If the serve hits the receiving player (or their partner, when playing doubles) before touching down out of bounds, the point is the servers. The exception is if the serve is a let. In that case the point is not awarded to wither team and the server reserves.
Chat with our AI personalities
If the ball hits the player's paddle, including holding hand, before touching other objects (table, ground, etc. but the ball can touch the net), then the other player win the point. It is called 'blocking rule'. It does not matter if the hitting happened behind the end of the table or not (e.g. you still lost the point even when the ball hit your paddle or holding hand and you stood 5 feet away from the table).
I guess such rule was introduced because sometimes it's very hard to call where the paddle touching was happened (player could stand very close to the table and paddle may or may not be behind the table). On the other hand, the spinning of the ball could change directions in the air before landing. To avoid dispute, such 'blocking rule' was introduced to prohibit any touching by the paddle or holding hand before touching other object except net. However, if the ball hits other parts of the player's body when the player is behind table, it does not count as blocking. In such cases, it's called 'out'.
Player standing just behind baseline. Opponent's ball hits this player's foot. Who gets the point?
There is no rule against stepping behind the baseline, so the winner of such a point would be whoever returns every ball inside the court.
Whoever would normally have won the point still wins the point. There is no pity point if someone falls on the court.... it's just part of the game.