Hello,
I'm here to report the same bug as mentioned here : No driver progression in myTeam | EA Forums - 12258348 . I do it here because it has been registered as a "feedback" & it's clearly a bug.
To say it again, in the Career mode MyTeam, if you choose a driver to actually play the week-ends, the game doesn't count it & the driver stats will not increase from this week-end, which means that if you play this same driver for 3 seasons, you can win every GP & championship but his stats will never increase.
I don't think it's intended & this bug has been here for a while, i hope it will be fixed.