I agree with Nelly's first answer. I usually say that when you and I both have a bad or hard situation. Fore example, if you and I seek a new job but we cannot get any job for a while, then I say お互い、大変だけど頑張ろう。 About second question, we normally use 会う. But if I meet someone like special person for example my girl friend or someone I respect. Then I write 私はこれから恋人に逢いに行く I'm going to see my girl friend from now. And this sentence includes my passion for my girl friend as well.