As worried righly said, odds are on your side and not everyone contracts HIV in a single exposure, even if the parter is a confirmed HIV positive. Your symptoms do not sound ARS.
Since your condom broke, you were exposed to a risk, and the possibilty of transmission can only be ruled out by a conclusive test to be done at 3 months mark, anything before that could be highly reassuring but not conclusive. This is how, screening is done for HIV so you need to gather all your courage and "Just Do It".
Despite their strong and powerful protection against HIV and other STD's, the only risk associated with condoms is, their protection does not remain valid anymore as soon as they break, and the situation turns "unprotected" from "protected" within a fraction of second. Keeping this risk in mind, one has to be very careful while using them. "Correct use" is the key word for condoms efficacy.
A sore throat for 2 weeks is not a sign of HIV, there are lots of other things that give you a sore throat for that long, to include a common cold. If every person that had a sore throat for 2 weeks had HIV the majority of the worlds population would have HIV. Dont believe everything you read on the internet because a lot of it is BS.
Go get the test so you know your status, no need to be scared, the odds are so on your side anyway.