My first instinct was to say get the Rolex!!!! But maybe you should get a cheap gold plated watch to see how you like having one on? Maybe a Fossil? You can get one for less than $100 and see if you like even wearing a watch or not! If you do, get the Rolex. You can always find a good preowned Birkin from a reseller. Or, keep the cheap watch and gets new Birkin!
I'm a huge help, aren't I?!!?