Check the fuel filter, of course. The old tanks are rust buckets by now, so it's coomon to clog a fuel filter with rust. And if there's no filter, well, a carb teardown/cleaning might be in order. I run a filter right at the entry to the carb, and I use the clear type. Easier to check. There is one stock on the car under the drivers butt, or a bit further back. It's easily ignored.

As mentioned, check the vacuum hoses. They are old, and prone to cracking, stiffening, etc. There are some oddities like the "flapper valve" that can malfunction, but this doens't sound like that's happening.