just got me a '67 Barracuda

Nice find, it looks like there`s a lot of miles left in her. Do you have a nice stream of fuel leaving the fuel pump? Try disconnecting the line after the fuel pump and run the line into a can. Crank over the engine and see what kind of fuel flow you get. The stream should be full and strong. You can check the slack in the chain by rotating the crank back and forth and watching your rotor. If the crank moves 10 degrees or more without movement in the rotor then it might be time for a new chain. Keep us posted on what you find.
Thanks for reminding me about the chain slack test; I did that before I replaced the distributor, but the distributor shaft had so much side-play that I assumed it was not the chain, but the distributor. Now that I've replaced the distributor, I'll rock the crank shaft back and forth again to see if there is a lag in the rotor response. And I'll check that fuel pump; sounds like an easy test to eliminate a possible cause, though there seems to be a steady stream of gas being sucked into that giant 1-barrel.

I got the car for $2000; there's 84,000 miles registered on the odometer, but only reads up to the 10,000s. My mother acquired the car via her now-ex-boyfriend, and since they are no longer together, she wanted to sell it...yeah.