Smells like burning cables it ate the batterie put a new batterie wont start

No a new battery isn't going to fix anything . You need to take your vehicle to a qualified automotive electrical repair shop an let them assess the damage .

You must have hooked the battery cables up in reverse.

your starter is shot. The click and the ting sound is your bendex not engaging properly. You can catch car on fire, or mess up your computer if you keep trying to start it. Be sure to disconnect the battery when you change it. Good luck

Sounds like a fusible link burned out. Check the wires at the battery cable post of the starter. The smaller wires connected here are the fusible links if equipped. If not then check where the smaller positive cable off the battery goes to the fuse box. It will be connected to fuses there which could be burned out.

The new alternator is probably ok.
I would say you burned a fuseable link in the wiring harness.
The alternator has a fuse wire between it and the battery to protect it from overload.
Have someone check the wires coming out of the back of the alternator. The big wire should have battery voltage, the small wires energize the alternator when you start the engine.

maybe burning smell is comes from the starter,i think the magnetic field of the starter is burned,check it

for the signals check the flasher, put a new one in if you have the same problem then make sure grounds are good to those lamp sockets,the stalling i would start with the battery cable that goes to relay box under hood, common problem with those,the cable going to the box heat up melting the plastic around connection, making car stall and sometimes not starting depending on how bad it is. well start ther, good luck hope this helps.

You need to Trace the Negative and Positive Battery cables all the way back to the other ends. Possibly just replace them both Just too be careful. This will short out the Cables very Rapidly.

It needs to spin over at correct speed so if it is dragging causing slow turn over then yes it can cause