weapons causing blunt injuries and weapons used for stabbing.

Ich kenne leider keine Einzelworte dafür.

I'd suggest:
cutting and thrusting weapons

ich hab mal batons and thrustings genommen, was hältst du davon?

To me, there are many types of batons, and they aren't all weapons:
For example: http://en.wikipedia.org/wiki/Baton_%28conduct...

Marching bands often have someone twirling a baton.

So I wouldn't go with baton. I think you'll be misunderstood. If you mean a big blunt thing that you bash people with, it's a club.

I can only speak for RPGs, but anyway:
In German RPGs, "hiebwaffen" refer to swords or similar edged weapons that are swung (slashed) as opposed to thrust in order to cut an opponent. In English they call them "slashing weapons".

Clubs are in the "wuchtwaffen" group (and a baton is a club), which are "bludgeoning" weapons as opposed to edged weapons. Then there are weapons which are thrust (stichwaffen), including daggers and rapiers. These edged weapons are intended to pierce an opponent rather than cut them.

Diese Art von Waffen hat eine lange, glatte Klinge, die der Länge nach an einer oder auch an beiden Seiten gschliffen ist und in der Regel in einer Spitze endet. Dazu gehören:

Schwert, Degen, Rapier, Florett, Pallasch, Säbel, Faschinenmesser, Handschar, Jatagan, Kindschal und Dolch (einschließlich Stilett)