Your ranked MMR was impacted by each of those matches (by how much depending on the MMRs of those in the game with you), so instead of the starting MMR (thought to be 1200 or so), it's probably slightly lower right now. When the season ends (even if you don't play anymore ranked), you'll still be affected by the soft reset (which in at least one previous season was [old MMR+1200]/2=new mmr, although they may have tweaked the formula), so you'll probably be pulled closer to 'fresh account' status if the soft reset does work as it did previously.
When the next season starts, you'll need to do a fresh batch of 10 placements, but your starting mmr will be whatever it is after being soft reset, i.e. slightly lower than 1200. The 10 placement matches will each have their own impact on your MMR, and then once you're done all your placement matches you'll be placed based on that final MMR.
tl;dr: Yes those matches count. Probably won't have a significant impact however since it's only 4 or 5 games.