The EQ can come before or after the compressor, depending on whether you wanted to compress the EQ'd sound or EQ the compressed sound. Use your ears.
If you're using Logic to process your mixes digitally, a noise gate isn't really needed as you can totally silence the noise using the editing tools in Logic.
Delay after reverb would give you delayed reverb, reverb after delay would reverberate the delays... er, it's like that basically. The results can vary hugely depending on how you set the FX levels (dry/wet etc) in the modules, so again the key is to experiment and hear what does what.