I think the problem may be that a hybrid does not put you in a very effecient riding position. Your position looks much too upright to me, so you are putting more pressure on your butt, and perhaps feet than you should be. Hybrids are not made for long distance riding, just slow jaunts around town. If you are enjoying cycling, maybe its time to upgrade to a road bike, with a professional fit.

Your wrists look too bent, probably the source of hand pain. Drop bars will give you more positions, which will also help, but perhaps some stem/bar adjustments on this bike could help. Have you measured your KOPs position? If you are sitting too far forward on the bike, you will be putting too much weight on your hands? The sandals you are wearing are not as supportive as real cycling shoes. 'Hot foot' can come from not spreading the pressure around correctly, so cycling shoes fitted with good aftermarket insoles may be in order, with some adjustment in cleat position and possibly cleat style (I like speedplay frogs).