Technically you have fit a three-parameter distribution because you are using a threshold parameter that came from estimating the data. A proper two-parameter family would use a threshold parameter that is based on domain-specific knowledge of the population distribution, not a sample.
However, I don't understand why you are worrying about this subtle aspect of the problem. If your goal is to simulate from a two-parameter lognormal distribution and thereby generate many samples that look like the observed data, then what you have done is perfectly fine.
For simulation, see the article "Simulate lognormal data in SAS."
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