Yes the first connector looks to be an XLR. The good ones are rated to 15 amps but there are plenty of cheaper knock offs that will only do about half of thay current.
Second connector is a 2 pin GX12. This is rated fir 7 amps and again, is dependent on whether it’s an OEM or not. I suspect u could get up to 10 amps out of this connector but that would need to be confirmed with testing. I had a 5 amp charger w this connector and it didn’t even get warm.
Re switching your 10 amp charger to a different connector, it shouldn’t be too complex. Just figure out how your XLR is wired with a mutlimeter, cut the connector off and solder on a female GX12. Triple check polarity before connecting to your battery and make sure your charge port is fused.