New battery

What is your question?

My car won’t start when i turn the key over it don’t do nothing don’t make a sound but if i jump the starter relay with the car in the on position it’ll start but then when u drive it it won’t shift outta 1st gear my break lights stay on until i turn the car off all my dash lights come on like there supposed to and i got a check engine light on a abs lights stay comes on a bsa or something like that light comes on my srs light comes on and none of them turn off until i turn the key off all my windows work radio works seat memory still works and i haven’t had a battery on it in about a month a good one I’ve tried a couple diferent ones on it and none of the had enough juice to do anything but turn ones on it my dash lights and then it would die out i even tried jump starting the batterys but it still wouldn’t start the car the only way i can start it is by jumping the starter relay and i never had any of these problems until i changed the battery ooooo and my key fob isn’t working right

What makes this problem better or worse?

When i jump start the starter relay makes it better but don’t shift outta 1st gear

How long has your 2001 Mercedes-Benz CL500 had this problem?

More than a month