The hours of binge watching Forensic Files has finally come in handy!
1) the mask would probably probably cost you a pretty penny and from a brief search on Google images, looks like they're staraiht out of uncanny valley. So a)the victim would give the description of it to the police, even if she doesn't know it's a mask and b)companies keep records of where and to whom t they sell their products. So the FBI could just ask them for said records and find you as the buyer.
2)you bought a bike so a) the victim woll give a description of it to the police or someone saw you biking around with the mask on and give its' description since you were in the vicinity of the crime and b)the store you bouught it from has records as well. So that's two bits of evidence pointing to you.
3)the plane ticket, you moron. That places you in the area that the rape occurred. Especially since you'll be taking a bike on board. It also would show when you got on a flight back home.
4) this hinges on her doing what you want her to (get in the car and drive) and no one seeing you holding her hostage. Not only in the parking lot,but while driving and any security/traffic cameras that might be in the area. Not to mention she's not just going to sit there and let you handcuff and gag her. Your DNA could end up under her nails.
5) you could leave evidence in her car, either skin cells, fingerprints, a thread from your clothes or gloves, a shoe tread. Police find these, they look for links to the perpetrator. The gorilla tape could be a link as well as the handcuffs. Again, sellers keep records.
6)what happens to the victim after. I'd she dies inbthe trunk, you'll be tried for murder.
7)arson leaves evidence. What kind of accelerant I used for example, which you would need to get. Not to mention a fire is really noticeable. Someone driving by could see the smoke and call 911, as well as see you biking in the general area in the very early morning. Not to mention, the fire might not burn everything and the police will have more evidence to find and convict you.