If you haven't played single reed instruments before, even a #2 reed may seem pretty stiff. A #1-1/2 is about as "limp" as they come though.

The reed "clamp" is called a "ligature" and should be available fairly cheaply from any dealer that handles wind instruments. An option would be to find one of the $5 clarinets that hangs in a pawn shop, salvage the ligature, and throw the rest of the clarinet away.

"Corking" a clarinet isn't all that complicated, but can be a bit messy. While hide glue requiring hot application or rather toxic/flammable "shellac" used to be the norm, a liquid "cork cement" or "cork glue" now is mostly used and common brands are pretty clean to use. As with most instrument repairs, there are "tricks of the trade" that may make it simpler to have a local repairer do it for you. On typical clarinets, there are several keys that should have cork pads attached to cut down on the "clitter-clatter" when you play. On an old clarinet it may not be really obvious where all of those should go.

John