Sorry, got stuck helping a coworker on a rush, rush, the customers waiting gig
Ok, there are a few different gear cases for the mid to late 80's 60hp, (I'm assuming it's a 3 cylinder) depending on the gear ratio, and serial number.
The gear case drain and fill screws are on the stbd side, (drivers side of boat)
The fill screw is right below the "bullet", (where your gears/carrier assy./prop shaft/etc.. stick out.)
You should use Mercury high performance gear lube, (11.5oz roughly)
If your screws are stripped you want Mercury part #67892A06 for the lower screw.
79953Q04 for the upper screw
Mercury part #191833 for the o rings
Give me you motor serial #. It is on a tag on your transom assy just to confirm all of this.