If the fluid coming from her nose is clear this might be nose mites or it might be an upper respiratory infection. If you are seeing a colored discharge she may have a bacterial or fungal infection in the nasal area. She might also have a broken tooth leading to an abcess in the nose area. Either way swallowing infection can make a dog vomit.
And of course she might haven sniffed up something that got stuck in her nose such as a weed seed that is causing this.
She might need antibiotics to get over this or if its nasal mites treatment for that or a flush to remove a foreign object etc.
As its been going on so long I think a vet visit would be a good idea.
Some forms of kennel cough just seem to have sneezing with them so it could be a viral infection too. But with the amount of time that she hasn't felt well, if she were mine I'd have a vet check her.
Hope this helps you!

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