Car will turn over but won't crank up & shows no code

Car had minor problems cranking up, eventually one of the belts broke & battery light came on. I had car towed to mechanic & was told a belt & my water pump needed to be replaced so had it & timing belt installed! When I tried to crank car up to leave shop it would hardly crank up at all, but eventually it started after many tries. This problem persist for about a week before getting even worse so took it back to same mechanic & was told fuel pump was going bad, so had it replaced! When I tried to crank car up to leave his shop, it wouldn't crank up at all, killing the battery in the proses, we jumped car off after many times trying to crank car up eventually crunk up I went 5mims down the rd to get gas & car would not crank up for at least 20mins & took it back to shop! All this time the car wasn't showing any codes? After getting car home it would kill battery almost every time I tried turning over before cranking up! Now car won't even catch at all when turning over! I had another mechanic look at car & was told it was out of time, so had him put it back in time. The car still won't turn over & crank up? The only way I can get car to crank at all is by roll jump starting it off down my drive way, so I'm not able to drive anywhere unless I keep the car running till I get it back home. PLEASE HELP ME! I have spent over a $1300 tring to fix it & it is worse than e ever before!