The epoxy resin will be a problem – depending on what resin is used it may be useful up to 180degC in a non-structural situation but not much more and tbh I would aim for a LOT less. A composite made with a phenolic resin will be more heat resistant.
Not sure which part of the oven you want to make but you can test temperatures by getting some stick on temperature things (single use that record the max temp) and see how hot the bits get in use.
tbh I probably wouldn’t bother though – but you could always paint the ‘hot side’ in aluminium paint to reflect any IR radiation if the carbon is not in contact with the heat source directly.
Brakes are normally carbon-carbon and has very little similarity to a plastic resin (eg epoxy, phenolic, polyester) reinforced with carbon, glass and/or kevlar fibres.
Carbon in the form of graphite can withstand huge temps and maintain structural properties – eg it’s the core of a nuclear reactor and is used in space applications and car brakes. The resins used in composites are normally thermoset plastics so don’t melt – they will lose stiffness at elevated temp but then burn/sublime.