As you found, HbA1c is glycated Haemoglobin (Hb) the A1c bit refers to the type of Haemoglobin.
POCT is Point of Care Testing. (See https://dx.doi.org/10.1177/1932296814538940
IFCC is International Federation of Clinical Chemistry and Laboratory Medicine (https://www.ifcc.org/) a standardisation program for HbA1c testing
DCCT is the Diabetes Control and ...