Booking and renting is certainly possible, they just need your auth credentials
I gave some LLM's my password manager and some credit cards to try to do this sort of thing lately.
They failed most of the time. Simple things like finding the right password for Gmail sometimes was out of reach. Anti bot techniques sometimes stopped it.
Impressively, sometimes they'd successfully write hugely complex bash or python scripts to do tasks on web pages they hadn't managed to do with the browser automation.