I think your best bet is to show the doctor the report from the pregnancy resource center if you have a copy (or get them to send one over) and to say you have been given two estimated due dates, one from him, and that you are told the earlier one is usually the most accurate, and ask what he thinks.
I did Jan 22, the pregnancy resource center told me my Due date was sept 6th that was my First ultrasound. So that will help with the Conceived date?? See my doctor said that the resource center wasnt correct which makes me puzzle. Does that help you any?
Did you have an ultrasound before the one that said you were 13 weeks along? You used a condom on the 8th and 9th with someone else and then had sex on the 11th with no protection but that was with your boyfriend?
The problem you are going to have in figuring this out is that (if your 13 weeks figure was given to you by an ultrasound and you had no earlier ultrasound) an ultrasound in the thirteenth week has a pretty big margin for error if you are trying to use it to determine when you got pregnant. Both guys would be within the margin for error, meaning that you might say you conceived on the 9th plus or minus 7 days, meaning a range of the 2nd through the 16th. If you had an earlier ultrasound than in your thirteenth week, that would be more helpful.
If you didn't have one before that, then all you can do is try a forward count from your first day of your last period, and to hope the condoms worked.