For question 1. In the bottom of the "play" page you can see some notes regarding various rooms.
for the tournament rooms this note is mentioned:

"Take note that in this room, during all daily tournaments, the number of bonus points awarded for a character levelling up will be limited to 0 pts, KO bonus are also limited to 2 pts. Finally, everybody must be visible during a tournament."

so during tournaments the ko bonus is limited to 2, that means that it's no use to save more than 1 pill during daily tournaments.

For question number 2 I'm sure that many of the experienced daily tournaments players will give you some good advice.
I can't say I'm an expert in daily tournaments as I'm mostly an ELO player.

Read the excact winning tables

From the Rules:
Victory :
In Urban Rivals, a high level player may play with a team of small characters whereas a player with a much lower level may play with a team of very powerful characters.
Thus, the amount of points awarded to the winner of the fight is not related to the levels of each players, but only depend of the levels of the cards he/she was using.
The formula is very simple. The number of points awarded to the winner is equal to 25 minus the sum of the levels of the 4 characters in your team (showed by the yellow stars).
Example: a player with a team of four level 5 characters will receive 5 points for a win, another one with a team of four level 1 will receive 21 points, and a player with a team including one level 5, two level 3 and one level 4 would receive 10 points.

Lost : 3 Points
Draw : 4 Points
Your opponent quits : 4 Points
You quit : -20 Points


if you use Kolos and win in the first round you will got only bonus 1 points because yo beat your opp. so OHKO is not good when you are playing daily tournament

OHKOs are good in tournies cause you win faster.

e.g. you spend 1min for a OHKO and get 13 points.
OR
you spend 4 min for a normal win and get 25 points.

you do the maths.

I think it's pointless getting 13 points in one minutes, bacause if you take 1 minute longer,I can get 22.
when I get 22 points, you still trying to find your opp, and hoping for your Kolos or Kinjo came out.
and don't forget you opp will trying to block your OHKO cards. and it will takes longer than usual when you trying so hard to win using OHKO, but your opp smart enough to block every sigle move to use you your OHKO cards.
it's not do your math again, but prove it, that's why I don't like OHKO cards except in ELO.

Tanto how do you manage 22 pts in one game? you just said in the post above that 4 lvl 1 cards will get 21 pts, so how are you getting 22? do you play with three 1*s and an amazing non existant 0*?lol

Don't forget to read the exact winning tables..
http://www.urban-rivals.com/game/rules.php?show=table

the formula is Rubie + Mona. not one hit KO, but KO in two rounds.
I usually got cards in hand: Mona, Prince Jr, Samantha, and Rubie (lol, I don't mind a bad draw.. )
If I can win using this deck, I got 15 points. BUT Don;t forget about pillz bonus, and battle points won by round based.
E.g: If I use Rubie (level 3) and win against level 5 Gary, I will get extra 5 points.

and If you calculate it, maximum I got if they use 2 cards level 4,
and I win KO using Rubie, and Mona (+Fury) = 4 points*2 = 8
if I have 1 pillz left = 2 points

so I will get 15 + 8 + 2 = 25 points
sometimes I got 29 if I played a little bit longer.. lol..

For number two its easy play with a strong but low level deck I can get around 25-30 a match with a good low level deck best way to do i is with a monodeck full of low level Rescue cards. Its hard to explane but try it out and your see

NOOO!!!! Do not be tempted Dexter. Don't go to the dark side of horribly easy play. Stay strong and take it to those Rescue players. lol