Restoring lost database

I have had a blog at https://www.qohel.com for the last six years.

It has been hosted by 1and1 and although their customer service is crap, I have otherwise been happy with them.

A couple of days ago I upgraded my package to cope with increasing traffic. I understood that all my domains and content would be transferred to the new package with little or no interruption.

Sadly, this was not the case. The old packages were canceled, and all content and databases lost.

I have all my files, theme, posts and media backed up via FTP – in other words, a complete image of my blog. But not the MYSQL database, to which I did not have direct access.

Is there any way either to import all that data into a new blog, or to reconstruct the database from the actual data/files which I have?

Thank you in anticipation!

Peter