Due date question

So my LMP was 4/8, but I just now got positive pregnancy tests the last two days. I had discharge that resembled ovulation CM on 5/8 when my next cycle usually is. Is it more likely that’s the case & I ovulated late or is it also possible I ovulated normal time but am just now getting a positive test ? Does that make sense?

I’m wondering bc they’re saying I’m 6 weeks on Thursday based on LMP, but if I ovulated late I’m obviously not that far along. Just nervous bc my first ultrasound may be off & I don’t want to it make them or me feel like something may be wrong when it’s just I’m earlier than they think…

Ok I rambled in, sorry! But maybe that makes sense to someone