I'd think the first thing to confirm on your 'new' arms is that they're correct for the car. This would be easiest confirmation I'd think, '94 and earlier arms would have 3/16 pins for the blades and if you were sold '95+ arms the pins would be 1/4. This would create an issue very likely.
Were these NOS arms or just 'new to you'?
The 8E section of the FSM should provide help if you've got correct arms and still have issues. I've never had the arms off of my car but I've done many GM's which are all same/similar with no issues.
This might be an interesting read with your situation.
http://www.zr1.net/forum/showpost.ph...33&postcount=4