I’ve never been one to recommend certifications, although they can be helpful, I think that they tend to just more narrowly “box” you into an area. My recommendation given your level of experience would be to search out a small company within which you can grow. Perhaps a company where there might be a 2 person IT department and you would be the 2nd person. It can be somewhat like being thrown into the fire — but assuming you have the stamina, desire and willingness to work your tail off — it could be a route to a better job than you have, and one which will train you well. Lack of the certs for most smaller companies is often not an issue.
I agree, a smaller company will be a good next step for you. However to work at a smaller company you’ll need to be able to support Windows, the desktops, email as well as networking as at smaller companies you have to be more of a jack of all trades.
With only a year of experience you will have a hard time moving into a more senior level role as only a year of experience that doesn’t really qualify you for a network engineering role. You may want to look for a senior level help desk position to move into next.