Bidden by @deirdyweirdy to give you my two cents on how to recover, here is what I would try for myself if I presented with your conditions.

If you can get to someplace that sells homeopathic remedies (most health foods stores do), try Chelidonium in the lowest potency they have, ideally 6c. Take it three times a day until you start to feel some relief in regards to pneumonia, then reduce to 1 or 2 times a day.

For the apparent food poisoning, Arsenicum is my first thought to help with the vomiting, ideally 30c potency. Take it whenever you feel the nausea coming on, then every 10 to 15 minutes for an hour. If that doesn't help at all, move to Ipecac every 10 to 15 minutes for an hour, in 30c. A third choice would be Nux vomica, 200c, same administration.

All of these remedies are commonly sold in health food stores. If you don't have one of those nearby, try Walgreens or some other large pharmacy, look for combination/formula remedies that seem to be for your conditions, and follow the directions on the package.

Try sipping very hot water to see if that gives you any relief. Gently sniffing peppermint oil can help with nausea.

For continued recovery for your lungs, get some Kali carbonicum 200c and take it twice a day for a couple weeks. this one might be more difficult to find.

You can order all of these from Boiron. It will be easiest to just call them to order, rather than trying to find all these on their website, and they might give you more guidance. But I hope you can find at least some of these nearby so you don't have to wait for your order to arrive.