Windows Updates stopped working with error 0x80244010 and 0x80070003
The error 0x80244010 means:
//
// MessageId: WU_E_PT_EXCEEDED_MAX_SERVER_TRIPS
//
// MessageText:
//
// The number of round trips to the server exceeded the maximum limit.
//
#define WU_E_PT_EXCEEDED_MAX_SERVER_TRIPS _HRESULT_TYPEDEF_(0x80244010L)
So this is Windows Update related and so sfc and System Update Readiness tool can't fix this issue.
You should always have he latest Windows Update Client installed. The last one is part of the July 2016 Rollup, which also fixes slow Windows Update search and maybe your error messages.