Might I have Cystic Fibrosis? Should I ask my doctor for a sweat test?

I'm a teenager and I want to ask my doctor for a sweat test.
I think I sound completely paranoid.

I've had digestive issues my whole life, even though i'm 17 I can remember having stomach pains and constipation or nausea and diarrhea after eating as far back as 8 years old. I also get frequent respiratory infections, during winter I get constant flu's and I've had a bout of bronchitis nearly every year. I even had to have my tonsils removed when I was 3 after having Tonsillitis for two months straight, I've also had a long list of other respiratory infections including one that was never diagnosed but nearly landed me in hospital when I was 6 or 7. Sometimes I have bouts of breathlessness after not doing anything active.

What made me even come across the possibility of maybe having CF was my hands. After a 12 minute shower my finger tips, fingers and entire palms will be so wrinkled/pruned that at times it can be sore. After I read through the other symptoms was when I thought CF could be a possible cause for both that and my other symptoms.

Am I being completely paranoid or should I get a sweat test?