Congratulations on starting your new underwater journey!
We cannot really answer your question, since weighting can be highly subjective, and there is not nearly enough info in your post to even start...
"Two big" and "two small" weights is not terribly helpful. Myself, I have a variety of 2,3,4 and 8 pound weights sitting around the house, and there are more sizes out there. 4 pounds looks big next to a 2, but 4 looks pretty tiny next to an 8!
Were you using a wetsuit in the pool? If so, was is short or long, and do you know how think it was? The more wetsuit material, the "floatier" you will be and the more weight that you will need. If no wetsuit, you would probably require very little weight.
Since muscle is denser than fat, your weight on its own is also hard to use. If that was mostly muscle, you will need less weight. If it is not muscle, then you might need more. Boulderjohn mentioned this as well.
That is just scratching the surface... there are even more variables that can come into play.
Whatever the case, it is clear that you were overweighted, and your instructor's "whatever makes you comfortable" response was unfortunate and less than helpful.
Next class, ask your instructor about what weights you had for class #1. Know the weight. Explain how you sank the first time. They should be able to give you guidance on where to start based on your gear, body shape, etc. It is probably best to start light. You can always add a pound or two.