it is hard to tell what can be wrong. but from what you are saing is, you did a major tune up on the car and than some. first off if it has to do with battery usually the battery light comes on. your problem might be related with falty computer or simply you might have an electrycal problem somewhere. the fuel related also where the cylinders arent getting enough fuel or air for that matter. if the master air flow sensor is dirty it will give you the uneven engine work and a lot of times it is hard to start. the bottom line is.. whoever did the work did not properly troubleshoot the car. | 
