Thanks for writing. It depends on the type of climbing rose; some can be pruned back in early spring like regular roses and others (the ones that bloom just once a year in early summer) should be cut back right after they finish blooming.
If you have good soil or if you add organic matter (such as compost) to your soil every year, you probably don't need to fertilize at all. If you have poor soil, the frequency will depend on how poor your soil is; a good soil test from your county extension service should help you figure that out specifically.
---Justin, Senior Garden Editor, BHG.com