Congrats on your new lathe! The second is a crotch center. You can use it to hold a rod and with a drill in the chuck you can drill a hole in the side of that rod. Not super easy to use I imagine but better than nothing if you don't have a drill press or mill
CAT40 holders. $10 each for the holders on the top row, $20 each for the extended holder and chucks on the bottom row.
Top row L>R 1", 3/4", two 5/8", two 1/2", 3/8" and two 1/4"
Bottom row L>R 5/8", TG75 with 3/16" collet, two ER16 collet chucks