By default page 1 will open. I am clicking on "next page" using
driver = webdriver.Firefox()
mores = driver.find_element_by_class_name('icon-arrowright-thin--pagination')
vkl = driver.page_source
You are probably doing it too quick. Add some wait after your click and make sure that the second page is actually appearing on the screen before you try to read the source html.
Keep in mind that Selenium will not automatically wait for the second page to load completely or at all. It will perform the next command: