Ok, so we can assume this didn't happen at all before you replaced the distributor? If so, JDaddy probably has it with the battery cable. The only thing you can make sure about is the cleanliness of connections between the cable and ground.
A couple of things with your distributor. You probably did f your timing with the distributor reinstall, maybe with the teeth, but also, you may have re-installed the spark plug wires out of order. Aside from these two things, the only other thing I can think of is a goofed p/u coil or some other Dizzy hardware failure, but the coincidental timing of these symptoms right after re-install is simply too much to over look.
1) Take your Dizzy cap off and make sure the rotor button is turning while someone else cranks the engine (or while you crank it by jumping the solenoid).
2) If yes, do a quick spark test. This is probably not your issue, but it's good to eliminate it now rather than later.
3) If spark, then you need to time your engine. You can try to statically time the engine
since you have some serious doubt as to whether or not it's in time.
4) After you have done your best to ensure good timing, make sure your plug wires were installed on your dizzy in the correct order.
I'm guessing you'll find a timing problem among those tests....