Antibodies for Graves and Hashimoto

Does anyone on here have the antibodies for Graves and Hashimoto? And experienced both lows and highs? Is this a common thing?

I was diagnosed Graves' disease 2008 my antibodies was 269U/ml my first blood test results was very high : free t4 : 30.9pmol/L ( range 9-19.1) 

free t3 19.39pmol/L ( range 3.6-6.5) thyrotoxicosis ...i don't know anything about hashimoto 

Sorry my TSH level was 0.01 and still very low ...