"Building muscle" is a very broad term. Will your program allow you to build muscle? Yes. Will you look like a bodybuilder? Probably not.
Calisthenics 1-2 times a week, assuming properly executed, has the ability to give you good results. Bouldering - that depends... From what I know (and guess), probably won't build big muscles, but will give you a very good grip.
Diet wise - that is totally depended on your own body, there is no one rule fits all. Start with 3000 calories. Check your weight at least weekly. See how you progress, then adjust accordingly. If you feel like you are gaining fat - cut 500 cals. If you are constantly hungry and don't have enough energy to perform your routine ( or don't gain any muscle) - add more calories (preferably in protein form).
Each body is unique and must be handled uniquely.
Try your program for 6 weeks and see how you progress. If you love climbing, then at the very least you will have a lot of fun and make progress.
Best case - you will have fun AND build the body of your dreams.