Weber carburetor & fuel pressure question.

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I'm starting to work on a car for a club member that has a Weber two barrel carburetor. It has a Holley inline fuel pump that from what I can find operates between 1.5 psi and 4 psi.
Is this range of pressure okay for the carburetor or would putting a pressure regulator be necessary?
The car isn't wanting to run well at low rpms.
While taking off the carb and manifolds I found some pooling of fuel in the bottom of the two intake ports that is concerning.
I also found that all four of the exhaust ports have equal signs of exhaust gases leaking at the bottom of each port.
I will be checking the flatness of the manifold surfaces.