Using date and rules to publish and unpublish content
Create a new node of a certain content type using rules

Use rules action "Create entity" to create a node, whereas "node" is a type of entity.

For the fields that you want to provide some value for (as part of your rules action), make sure to add a Rules conditions - "Entity has field" (with the field corresponding to each such field). Doing so will ensure they are available in the Rules action (to set a value for it).

Repeat the creation of such new node

Use the rules scheduler as explained in the video about "Repeating scheduled events". The "clue" here is:


as the last action of your rule, you reschedule the same rule to be executed again after +13 days from today on. Or maybe execute the rule again "weekly" (as per your details in "2.").
the very first time (today + 13 days) you need to trigger the execution of this rule manually (from the rules UI). Since there doesn't seem to be any event in your question that you can use to trigger this rule.


Video tutorials

If you're not familiar (enough/yet) with Rules, checkout the 32 (!!!) great, and free, video tutorials Learn the Rules framework, organized in 7 chapters.

PS: Your question seems to contain 2 questions, of which "1." is not clear to me (something about creating a view?). After you enhance your question (as suggested by Shawn also), I might enhance my answer also.