The titles do carry over just for records but counter for certain title reset.
For example, let say in your 1st playthrough, you did 70 sub event & miss the 90 sub event title. Your title for getting 70 sub event still "checked" on the next playthrough but to get the 90's you need to do 90 all over & not just 20. Also, full filling a title requirement on your 2nd playthrough after you get said title from your 1st playthrough doesn't net you extra grade because max grade is 10k.
So far, certain things like sub event, chest/search points/bags & skit counter do reset. Need to confirm if it applies to others as well especially those "do things x times".
I did some test by starting ex newgame & buy several things from the grade shop. When i check my grade status in title menu right after i gain control, It shows total point before you spend them. So i guess it is refundable. Seems like you'd be stuck with the same point for each playthrough if you don't bother with the rest of the title that you miss till you reach 10k.
I'm actually concern about Fell arms kill count. Wonder if the kill count still intact for the next playthrough even without carrying the weapon over.