This is your second thread bud and we've all given you tons of sound suggestions. Not to be a dick but you keep saying you had a professional rebuild the carb and work on the engine... seems like you have a lot of faith in whoever did the work and the integrity of the parts used. While it may have run for a while after you had the work done doesn't mean that parts like the carb especially or the "work" performed were up to par to begin with. Not to mention, a couple tanks of crappy gas can wreak havoc and degrade the fuel system in a short time.
I mentioned the spark plugs, and you ruled them out by checking them for spark against the block, correct? Even a completely fouled plug will spark when grounded, but won't necessarily be up to the task of sparking enough to create combustion while installed in your engine and under load. You also may have a cracked plug, plug wire grounding out somewhere, etc etc etc.
I suggest you post some pictures and better yet video of what the car is doing. With all the knowledge on this forum we are limited to what you are conveying through messages regarding the symptoms and have no visuals to possibly see something that you don't.
I personally want to help you remedy the siuation and I'm sure others do as well which is apparent. Please post some pics of the engine compartment, spark plugs, fuel filter, battery terminals, etc. Lets solve this!