Is it possible, according to Catholic doctrine, that there are multiple degrees of suffering in hell, worse ones for worse sins and less works/faith? …
Yes, there is Church teaching that there are differing degrees of punishment in hell. The Councils of Lyons and of Florence say:
The souls of those who die in mortal sin or with original sin only, however, immediately descend to hell, yet to be punished with different punishments.
(The statement can be interpreted to refer just to a difference in punishment between the unbaptized and the punishment for dying in mortal sin. But, the “different punishments” may also be understood to apply within the category of those who “die in mortal sin”.)
St. Augustine said: “In their wretchedness the lot of some of the damned will be more tolerable than that of others” (Enchir. III).
In Mt. 11:22-24 Jesus tells the inhabitants of Corazain and Bethsaida:
*" But I tell you, it shall be more tolerable on the day of judgment for Tyre and Sidon than for you. And you, Caper’na-um, will you be exalted to heaven? You shall be brought down to Hades. For if the mighty works done in you had been done in Sodom, it would have remained until this day. But I tell you that it shall be more tolerable on the day of judgment for the land of Sodom than for you." *
And in Luke 20:47 Jesus says:
*who devour widows’ houses and for a pretense make long prayers. They will receive the greater condemnation." *
{My source for the above info was “Fundamentals of Catholic Dogma”.)