With all the symptoms and the faint BFP (not even that faint to be honest I've seen fainter). I would say it's pretty definate!
I phoned the doctor's about a week and half after finding out and told them I was pregnant and asked the receptionist wether or not I needed to see the doctor and she said I didnt need to see him she just took my detail's and said she'd put me on the midwife's list and that she would ring me to make an appt. She rang me that evening and luckily for me she had a cancelation the next day so I saw her when I was just 6 week's.
If I were you I'd do the same and ask the receptionist if you need to see the doctor because in some places you have to other's you don't. Oh and they didn't confirm my pregnancy, I think they don't bother in most places now because home test's are so accurate. Do another test if you want to be absolutely sure, 2 BFP's can't be false can they? It's almost un heard of to get one false positive never mind two.