Dodge charger wont charge

Believe you have a ECU (engine computer) controlled alternator, so alternator may be good but there could be an ECU issue causing it not to charge correctly. Chrysler did recall 2010 and up Charger for alternator issues, maybe yours is having a similar problem. I'd find a dealer or certified mechanic to test charging system.

Also in my dash board wont came on the battery light and the gears lights

That can be a wiring/harness issue, or instrument cluster module issue, or possible body control module. a good shop can usually find problems stemming from computer modules fairly quickly by running a scan tool on them, something a backyard mechanic would be hard pressed to do.

Also, check you don't have any burned out fuses/relays for the dash

I already get a new intrument cluster and does not came on that light

Did u figure out ur charging issue on ur 09 charger? I have the same thing going on now ,today.i mean no battery or gear select dash light,just drains the battery,alt is good all was ok before I recently did mds delete due to lifter failure,but anyways I'm at wits end.hoping u were able to get figured out before u pulled all ur hair out and gave the car away