Why is my macbook air not charging?

Hi, I have a Mid-2012 Macbook Air 11inch computer and its been working fine over the years. Suddenly when I go to charge it, it charges then stops. When I try to replug the charger nothing happens. Since I have a second charger I tried it, but the same thing happened. The computer charges and then stops. Then I changed the parts between the two charges (switch extension cords) and tried both. It doesn't even register either charger. Is it possible my battery is the problem and not the charger?

Battery Info:

Battery Information:

Model Information:

Serial Number: C0122930523DKRVAF

Manufacturer: DP

Device Name: bq20z451

Pack Lot Code: 0

PCB Lot Code: 0

Firmware Version: 406

Hardware Revision: 1

Cell Revision: 175

Charge Information:

Charge Remaining (mAh): 344

Fully Charged: No

Charging: No

Full Charge Capacity (mAh): 3618

Health Information:

Cycle Count: 702

Condition: Normal

Battery Installed: Yes

Amperage (mA): -2129

Voltage (mV): 7193

System Power Settings:

AC Power:

System Sleep Timer (Minutes): 60

Disk Sleep Timer (Minutes): 10

Display Sleep Timer (Minutes): 15

Wake on AC Change: No

Wake on Clamshell Open: Yes

Wake on LAN: Yes

AutoPowerOff Delay: 14400

AutoPowerOff Enabled: 1

DarkWakeBackgroundTasks: 1

Display Sleep Uses Dim: Yes

PrioritizeNetworkReachabilityOverSleep: 0

Standby Delay: 4200

Standby Enabled: 1

Battery Power:

System Sleep Timer (Minutes): 10

Disk Sleep Timer (Minutes): 10

Display Sleep Timer (Minutes): 2

Wake on AC Change: No

Wake on Clamshell Open: Yes

AutoPowerOff Delay: 14400

AutoPowerOff Enabled: 1

Current Power Source: Yes

DarkWakeBackgroundTasks: 0

Display Sleep Uses Dim: Yes

Reduce Brightness: Yes

Standby Delay: 4200

Standby Enabled: 1

Hardware Configuration:

UPS Installed: No

AC Charger Information:

Connected: No

Charging: No