Resource types

There shouldn't be any conflict with your version of Moodle and the version of PHP you are using.

It's really difficult to say not knowing what may have happened during the migration. Your system may be suffering from multiple issues here,

Is it possible that these errors exited before but you had error reporting set differently?

Do you have access to the last working instance of the site? Do you have the CD with the code you gave to your hosting company?

For what it is worth, what I would do is:

1. try to install a copy of the original site on my local computer (I use xampp on Mac and Windows for this)
2. Set error reporting to full power (Site Administration > Server > Debugging > DEVELOPER) This way you get maximum error reporting. See what you get
3. Download the latest version of Moodle and update your local version (remember to include all your 3rd-party module with the upgrade - refer to google docs for more help on upgrading)

One other thing: check that you have sufficient server memory allocated for your installation.