Yes. Based on W&M University Archives policy and the records retention schedule for state agencies, honors theses produced in partial fulfillment of a degree from W&M are part of the permanent university record. Barring an established term-limited embargo upon submission to the W&M Libraries ETD Repository, they are considered permanent public record.
Embargoes are set periods through which the full-text for a publication is not open access (freely available online).
You own the copyright for your work but should ensure that you obtained permission to reprint if you don't think your use of others' work constitutes fair use. Consult Copyright and Your Dissertation or Thesis for more information.
Graduate students have the option to order a printed, bound copy when you submit your thesis or dissertation to W&M ETD Administrator (ProQuest ETD portal.) You can also use online vendors like Lulu or local companies like Long's Roullet Bookbinders, Inc for printing and binding.
Departments interested in bound copies may also purchase titles directly from ProQuest.
Best practice is to tell the publisher(s) of your articles that your submission to them will appear in your dissertation before you sign the contract with the journal publisher. If you have already published the article, it's not entirely black and white but speaking conservatively, the permission will depend on the publisher. Read more on MIT's guide on this topic.
Scholarly research indicates that not only are publishers offering more open access content from their own platforms, but they are increasingly receptive to publishing content which originally was posted open access elsewhere. Generally, this is because scholarship goes under extensive editing between initial publication as a thesis or dissertation and acceptance into a peer-review publication. The articles below speak to this effect.