Other things commonly tried to reduce hand discomfort: padded gloves, padded tape (yours already look pretty thick), changing around between hand positions (one of the advantages of drop bars). If you ride on the bar tops, do your hands still hurt as quickly?
The neck discomfort - holding your neck in a flexed (craned) position for a long time isn't something you're probably used to. Changing your position on the bars can let you vary your neck position too. If your helmet has a visor that requires you to flex your neck even more to see under it, try removing the visor. There is another thread here where the OP wears glasses that force him to crane his neck. You can also do neck stretches as you ride.