I suggest you send any HT (including the charger) back to the factory for repairs, but call or contact them because they may not even do repairs out of warranty.
Just to say, a "tech" license doesn't really mean the licensee is a "radio technician" for repairs, to the contrary, especially considering the fines from the F.C.C. for being out of band or causing interference. As small as the printed circuits are in an HT I wouldn't even begin poking around inside, nothing will be adjustable in those circuits past the controls.
Besides having a homebrew rig, the days of HAMS making repairs to any rig is probably long past. I use to play with an HF Swan rig, even tore in to my Hallicrafters S 38 B receiver, these are old superheterodyne radios (tube radios) with real wires (LOL). Building your own rig use to be a big part of the HAM experience, today it's all plug and play.
I'm in Springfield, Mo. and we use to have two HAM radio "shops" and three TV repair shops I can remember, today they don't exist. Even Radio Shack stop carrying an inventory of electronic parts that they use to.
Even if you found some "repair shop" I'd want to have more than a receipt for any repair to a HAM rig, license, bonded and insured because ultimately it is the user's responsibility to be compliant.
Check the charger, look up the output and you might find another charger that will work, you might need to tweak the connections. Most likely that's your problem so long as your rig didn't take a bath while it was turned on.
Sorry to say, but if that doesn't work you have a boat anchor for a kayak. As mentioned, HT's are disposable, many are cheap and work just fine.
I feel like I'm rag chewing, I'll stop, I'm clear! 73's