Second, are you sure you really want to archive your page right now? You barely have anything on it. Most users won't make an archive page until it hits between 15-25 sections. But yes, it's against the rules to delete comments on most talk pages except under extreme circumstances (or if you figure out an answer to your own question within a few minutes of asking), but most of the time that will be an admin's job. It's not so much as "We don't want you doing it just because we say so" as it is a sort of record keeping of who said what, where they said it, and what it's a response to. Not all conversations take place on the same page, moving from an article's talk page, to a user's talk page, to somebody else's talk page when we're trying to figure stuff out. If half of those comments are deleted then it'd get very frustrating to try finding the details if something goes wrong.