Lets see if I can be of assistance, since sending them to me ain't happenin'!
First, I would use some sealer on the end grain of all. I can't tell how wet they are, but this will help keep them in good shape till you want to turn them.
#1-2 If your lathe can handle it, I wouldn't cut it - leave the edge natural.
#3-4 Make two 6 X 6 blanks and cut the 5" left into pen blanks.
#5-6 Cut it into 3 - 5-1/4 X 5-1/2 blanks.
The vessal sounds right for 7-8-9.
If you leave the Buckeye whole, you don't have to worry about the rotten part. Either seal it with "Wood Hardener" or clean it out and turn carefully. Should be a beaut either way.
Bruce Shiverdecker - Retired Starving Artist ( No longer a Part timer at Woodcraft, Peoria, Il.)
"The great thing about turning is that all you have to do is remove what's not needed and you have something beautiful. Nature does the hard part!"