1 - If you get herpes from receiving oral sex, you'd have genital herpes type 1. The location of the infection would be the genitals, but the strain of the virus would be type 1. (The number indicates the strain, not the location.)
If you also kissed the person giving you oral sex, you could also get oral herpes type 1.
2 - Was the cut there before the oral? It might increase it the chances, but the skin on your penis is already thin, so while a cut on the foreskin could increase the chances, it's hard to say how much.
Of course, this only matters if the person giving you oral sex has hsv1. Do you know if they do? Did they have an outbreak at the time? That increases the odds a lot.
Do you know if you have it already? Most people - like 90% - who have it don't know they do because they've never had an outbreak. If you are curious to know if you do, ask your doctor for a type specific IgG blood test
Just because your mother did what she did doesn't mean she has hsv1, or if she did that she transmitted it to you. If you do have hsv1, you may have it and never ever get a cold sore. Most people don't. If you do have it, you'll never know if it was from your mom, from a kiss from someone else, or from sharing a drink with someone, so don't blame your mother. You'll never know, and it doesn't matter. Most people never know.
Even with the cut, chances of you getting anything from this are really, really low.
Have you seen a doctor for your symptoms? If you haven't, you should. It doesn't sound at all like herpes, but could be something fungal, and since you've had the flu symptoms for so long, you should definitely get that checked.
Make sure you aren't dehydrated. That can cause lingering headaches.