Hi
I know how upsetting this can be but remember he is only 10 weeks old and probably hasn't been with you very long, so feels very attached to you at this age and probably feels like he's being punished for something as he can't be with you, however he must learn that it is okay to be seperated from you.
Some thoughts have you tried leaving the radio on whilst eating or crating him?
Putting an item of clothing belonging to his favorite human is a good aid to giving him reassurance and comfort.
Also regarding the crate, have you continued his training increasing the time left each time and treating when you go back to him provided he has been quite, even if this is for a mater of sec's, just see if you can increase each time.
I've just started clicker training with Snoopy and it works really well with him, as he loves rewards and most cockers seem to be food motivated, so how about trying her using a reward based system, namely when she is quite, she receivies a treat (no fuss at this point, just reward).
Just a thought but what is he like if you leave him out whilst you eat? Does he sleep in a crate at night?
Hope this helps.
Cheryl