It sounds like you probably do, but you need to speak with a qualified immigration lawyer to confirm.
You appear to be qualified as the parent of a lawful permanent resident.
Mr. Shusterman's (former INS Trial Attorney, 1976-82) response to your question is general in nature, as not all the facts are known to him. You should retain an attorney experienced in immigration law to review all the facts in your case in order to receive advice specific to your case. Mr. Shusterman's statement above does not create an attorney/client relationship.
In six months time, you should be able to apply. Make sure you have proof that you were in the country on Thursday. If you don't, then do it tomorrow or Monday. Anything that requires a personal transaction for which you have to show ID and gives you a paper that proves it. Also your wife should file an I-130 for you. Your attorney will explain all this to you. Good luck.
You may qualify. How old is your son?
Please be advised my answers to questions does not constitute legal advice and you should not rely on it, due to the fact that we have never met, I have not been aprised of the facts in you case nor have I reviewed any documents.
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