Congrats on your purchase of one of the finest snare drum designs ever.
Ok. I am biased. Still, it really is one of the finest.
First off, wires.............
Yes. Original Rogers Dyna-Sonic, or Puresound Dyna-Sonic are your only options at this time. And, yes, no other wires will work, unless specifically made for the Dyna-Sonic.
The design is rather simple. The frame keeps the wires under a constant tension, the throw off brings tensioned wires to the head. The extremely shallow snare bed interacts with the frame to produce a very sensitive snare response all the way from center to edge.
Your problem with holes is something I have not encountered in the 35 years I have used a Dyna-Sonic. I currently own 12 of them, ranging from 1963 to 1984. It is quite possible the whole thing was improperly set up or used the wrong wire set.
If you compare Rogers Dyna-Sonic wires with a standard wire set you will see how they are constructed differently, and that difference makes all the difference.
Once you have the wires mounted to the frame, you can set the tension of the snares by tightening the tension adjustment screw. This will put direct tension on the snare wires by forcing the opposing ends away from each other. This is something you do with your fingers, and NEVER a screw driver. You simply do not need a lot of tension, two fingers are more than enough to get it right. The wires will sing when strummed, and it will be just enough to take out the bow of the wires on the fram. Get the frame properly centered and mounted to the throw off and butt, you are ready to set the snares. Loosen the throw off adjustment screw, engage the throw off and bring the snares up to the head as you tap on the drum. Again, this is not a cranking up tight thing. There should be no real force on the throw lever to engage the snares. And, you will find that the frame will still move easily against the head. If it is requiring force to engage the lever, things are way too tight. This is something you can practice easily doing, and it works for every Dyna-Sonic. Adjust tuning and tension to your preference and you will begin to enjoy a fantastic snare drum.