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Hello, In case battery is not charging while MacBook Pro on but while its switch off then charging the battery. Sometimes the battery charges few seconds while it’s on.
If the MagSafe LED is not lit then the MagSafe connector on the cord and/or the system is dirty or damaged. Review this Apple T/N Apple Portables: Troubleshooting MagSafe adapters Here’s an example of a damaged MagSafe connection
A common issue of damage is knockoff chargers! ● Don’t Replace Your MacBook Charger With a Cheap Knockoff ● OEM MagSafe Chargers vs Cheap Imposters: Teardown for Truth ● Lacking safety features, cheap MacBook chargers create big sparks ● FAKE Magsafe MacBook Chargers on eBay - Watch before buying a Mac Charger