not compulsory but every time i eq then comp i at least review what comes out there (depends what style you're going for of course) but, eq then comp i think is the last two in the chain, usually..
the first eq/comp gives you something (tidying up the recording) but you may need to do them again depending what comes out of the first processing so don't be afraid to pile those processors on until you get the sound you're looking for
/have fun