Welcome, I will do my best to help you with your problem

The only "fix" would be to fill the crack with color matched epoxy. It sounds like the top may not be properly supported. If there is any movement in the cabinetry or whatever is supporting the top then the crack could open up again when the moisture levels in the wood in the house change from winter to summer

Epoxy is a type of adhesive and it might actually glue the pieces together if the crack is clean and the gap big enough to get the epoxy more than half way into the crack. Give me a minute and I'll see if I can find you what you might use

For the crack to be more or less permanently glued back together you'd have to take the piece apart which is not feasible in a case like this

Yes but you need to color it to match. Still looking for the best alternative

http://www.amazon.com/Tenax-Poly-Color-Kit-Piece/dp/B000VM4OF4/ref=pd_cp_hi_2

You need this coloring kit and the epoxy listed below or you could just buy tubes of epoxy locally. You first mix the colors together to get your match then mix the epoxy then mix the colorant and the mixed epoxy together

You need to get all the old caulking removed if you want a good bond

You're welcome

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