I've seen far worse
The "F" grade at SSLLabs is due to the same certificate being hosted on a web server elsewhere (this may be their backend server, they are behind Cloudflare) with SSLv2 and export grade (deliberately weakened) ciphers supported. The certificate has a SHA1 intermediate certificate in the chain, so they will need to update it anyway before the major browsers start giving warnings early in the new year. Doing this will help to mitigate the problem, no need for an entire new web site. They should also be either getting the 2nd server turned off, if it is unused, or better secured if it is their backend server.