The correct name for a Table Tennis paddle is a table tennis racket.
Yes, it is OK for the racket to touch the table.
In my league, you can't touch the table or net with your free hand. If you do, automatic loss of point. Your paddle may touch the table with no penalty.
No, if it does it is a point to the other player.
You may not touch the table with your free hand
You can touch the ball when it is not in play. When the ball is in play, you cannot touch it.
No the ball must touch your side of the table before you can hit it
Aces are terms when a person serves the ball and the person who is on the other side of the court is unable to touch the tennis ball.
Chair empire says "Touch" and returner losts the point
If you mean while the point is being played then they shouldn't be as that is illegal, but if you mean in between points when they touch the sides or edges of the table, that is because they are getting any sweat/moisture off their hands so they can grip the bat properly
Yes, you can touch the racket (also known as a paddle or bat) with both hands, but there is no advantage to doing so. In fact it is probably more of a disadvantage.
In tennis and volley-ball you lose the point if you touch the net while the ball is in play.
The legal serve where the opponent fails to touch the tennis ball is called 'ACE'.
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'.