LFT's are Liver Function Tests...these are neccessary to determine possible liver damage or stress.
Hb A1c is to measure glycolysated hemoglobin...in other words...how much glucose is chemically bound to hemoglobin. Less than 5% is good. It gives a pretty accurate pictue of how blood glucose levels have been for the last three months. It is generally used to help determine diabetes severity and guide treatment.