Why not start with replacing the anchor pins, as they take an enormous amount of strain, and check all clevis pins and their ring-dings very carefully. Check that the shackle for the shrouds (at the mast tang) is in great shape, and is WIRED so it cannot become undone.
Then check the forum threads for which kind of teflon chip is best for underneath the mast (to act as a bearing or lubrication.)
Check the threads (and with other sailors) as to the set up of the rigging. Everyone raves about raking the mast further back so you get more speed and more pointing ability. Do something about that in your second or third sailing season, along with adjusting the rudder rake to match. Set everything neutral for now. Later get the 6:1 mainblocks etc. when you really want to zoom.
Service, oil or grease the rudder cams, delrin screws and springs. On older boats, often the delrin screw becomes locked in with age. Replace it as a winter project.
Meet with other H16 sailors, and see what else you can pick up. The best tip we ever got was to tie a figure 8 knot in the mainsheet between the main's blocks and the traveller's cam-lock. Adjust this knot so that if you have to do an emergency gybe, the knot is set such that the traveller car will NOT hit the end of the the traveller track, but stop just before. If you do this in strong enough winds, the traveller car has been known to explode. Then life gets exciting.
Don't forget the safety stuff - lifejacket, whistle, bouyant heaving line, and a bottle of your favourite refreshment.
1989 Hobie SX18 Sail # 1947 "In Theory..."
'Only two things are infinite, the universe, and human stupidity. But I'm not sure about the former.'