|You can try running Windows repair tools on the unallocated space but I am not sure that will work.|
You can try using testdisk to repair the partitions. BUT, because you had multiple partitions on 1 physical hard drive you will need to have an idea of what the original configuration of all the partitions was.
If you don't feel confident to supply that information then don't run testdisk.
Get test disk at the link below.
If you can't repair the partitions then you can probably recover the files from the remaining space on your hard drive. You will need somewhere to copy the files to. I recommend you get another hard drive large enough to hold everything. You should have been keeping backups right along. Get an external hard drive. I recommend a unit that uses AC power (plug in the wall). They are more dependable.
Get recuva from the link below to recover the files. Download recuva and install to your C partition. Run it to see what can be recovered. That will help you know if you want to try testdisk. With 5 logical drives in an extended partition your chance of success is minimal. As I said, you would need to know the exact size of each logical drive to assure success.