Today I had no problem finishing the daily quest and in the process getting one league level up - from Silver III to Silver II. Of course, I had to stop since I ran into Level 4&5 players the moment I got into Silver II.
I'll continue tomorrow in the same fashion - finish the daily quest, try to get up another level up.
EDIT: It looks like the reward cards has fallen down. These two are $0.02 & $0.01. As usual, combined both with the ones I already have.