I just recharged my ac and it worked and then

The A/C can be read with a scanner. But just a guess. The heat didn't work for maybe three reasons, first the heater core is plugged up, second someone bypassed it because it was leaking on the inside, third the blend door motor is bad, stuck on A/C.
The A/C could be low on freon, again. Most places put die in the system to check for leaks. Takes a black light to see the die, unless it was used in excess. You will need to recharge it to see if it is the problem. If you do it yourself, use at least one can of freon with die in it. If it happens again, you or someone can find the leak.

I HAVE A DODGE NITRO 2011,2 MONTHS AGO THE AC WAS WORKING BUT THE HEAT STOPED WORKING. 2 WEEKS LETTER THE HEAT STARTED WORKING.A MONTH LATE THE AC/HEATER IS NOT COMING ON AT ALL. NO NOISE NO AIR NOTHING.

Did you ever think, that it was leaking refrigerant in the first place, and polluting the atmosphere.
If you need to recharge it,you must by federal law,recover the existing freon,repair the leaks,pull a vacuum,test that the system holds,then recharge.
You need to get this done professionally, by a shop equipped and trained to work on A/C

This time tell technician to use a dealer part. Some cars are fickle.

Have the alternator checked,with the ac on high,and the headlights on,it should read 13.65 volts,to 14.25 volts,checked at the battery,if it is lower than this,replace the alternator,now if the alternator checks out good,have the compressor coil clutch replaced,it will be shorting out,.

This Could Be the LOW PRESSURE SENSOR Located on the COLD Line Close to the Firewall it has a 2 wire Plug

the AC servo that kicks up the engine idle speed when the AC is no..Is stuck or faulty...Replace it. 

sounds like a starter motor problem, i would change that first

You will need to add some coolant. Most auto parts stores and hardware stores have recharge kits. Purchase a kit with a gauge to prevent overfilling.

check your vacume lines