Phone charges only when off and volume buttons wake device

My phone is rooted and runs the latest crDroid

The problems are:

-Phone only charges when off, but I once it starts charging it will continue after booting

-Both volume buttons turn on the screen

Both problems appeared simultaneously out of nowhere.

The same thing happened once already. I fixed the second issue by wiping and reinstalling the ROM. For the charging issue I found a weird solution: turning the device on with the volume down button pressed and with a strong light shining over the front camera/brightness sensor. I wasn’t expecting anything, but it worked for about one week, until both problems surfaced again.

Sometimes in my previous install something called Car Mode would turn on by itself, and I believe it’s somehow related to both these issues.

Any ideas? I tried different chargers, cables and cleaning the usb port.