My kid was diagnosed with Hand Foot and Mouth Disease by one doc and chicken pox by another?

My 4 years kid had a fever for one day and half,and he felt tired.
Next day he had rash on neck nape,around mouth, just near his armpits from the back, arms,legs,knees,elbows,hands and palms,feet and soles,very small red dots on his mouth roof not blisters or rash on belly,neither on back,3 small dots on his chest.
One doctor diagnosed him as hfmd, the other diagnosed him chicken pox.
My question is, could hfmd appear on neck nape,around armpits?
Could chicken pox appear on palms and soles? Thanks.

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