No, afraid not. I would possibly be worried about unlimited disk space and unlimited bandwidth. Make sure you check out their terms and conditions before you sign up to find out what they define by that. You've got a 30 day money back... so why not suck it and see?
No, I have never heard of them either. As suggested, I would not go with a host offering unlimited space/ bandwidth, as this does not exist: www.unlimband.com I presume you are looking at there resellers package. Bare in mind that there are extra charges for each contol panel, password directories, webstats and sql server for your sites, so the cost of hosting your sites will add up.