you start fresh, even with new players.so no, you don`t get old scouting points.
I do wonder how you are able to spend so much money on scouting with a new team... some advice: just be carefull not to overspend your money while your team is still fresh.
Do we still receive draft results between now until the draft? I still set my scouting to four and I would love to have some more infos before draft day.