Hi, welcome to BYC!
Sorry you had a loss.

Did you have it verified with necropsy?
Just wanna say that sooner or later your birds would have been exposed to Marek's anyways, IF it wasn't already at your place and just chose then to take advantage of some other weakness your gal had going on. But it can be brought in by any wild bird that visits your yard. According to my state poultry vet at UC Davis, Marek's is considered to be in EVERY poultry environment. AND isn't even part of the testing required for NPIP certification. So you could get it even from NPIP sources.
NPIP is partly to protect our food supply chain. Those chicken factory type places surely have all their birds vaccinated.
If you do get your new chicks vaccinated... and they are exposed, then they will be carries as well... but probably won't succumb to the symptoms or display them. SO if that's your version of protected then yes it will protect them. Seem like the efficacy rate I read on the vaccine was pretty high. In the 90%'s.
I personally choose not to vaccinate because I breed my birds and want to develop natural resistance. If I see Marek's symptoms pop up I cull to limit the spread of the dander and such. But everybody has different goals.
Yes, it is safe to add new birds to your flock. They either will or won't be brought down by the disease. Out of 82 birds I lost only 2 at 3 weeks apart a long time ago. Have gotten and hatched plenty of birds since then without issue.
If you haven't already seen this article, it's quite a fantastic resource with very accurate information...
https://www.backyardchickens.com/articles/the-great-big-giant-mareks-disease-faq.66077/
Why medicated feed? It just blocks thiamine to starve out cocci that are in EVERY single chicken poo. And it ONLY slows their growth it doesn't kill them. The medicated part can be completely avoided simply by not over crowding your brooder, keeping your shavings dry, and not letting any stray poos sit in the water dish. Believe it not they do have their own resistance. Cocci is ONLY an issue when allowed to bloom out of control... which IS more likely to happen in warm/humid conditions like that of a brooder. Doesn't mean it will. I have raised chicks for years without the need for medicated feed. Of course some people contend with their weather or other factors contributing.
My chicks are usually making short trip to pasture by 3 weeks. And by a few days old I bring in some dirt from the yard to help build their immunity before full time exposure. But I don't know if there is guideline that has the need for the vaccination to develop before exposure since I haven't yet vaccinated for Marek's.
I know they offer a cocci vaccine that is voided if you feed medicated. My choice in neither. Because even though your feed medicated or get the vaccine for cocci doesn't it won't happen and you might still have to treat. So it's a false sense of security and a $ making option for places that do offer it.
The MDV vaccine is affordable enough. Sounds like it could be a good choice for this situation.