It seems that 'tmp' folder is missing in your home directory on your new server. If you can SSH to your server, create 'tmp' folder in your home directory. You need to set the permission of 'tmp' folder to 777 or 755.
If you cannot SSH to your server, you can use any FTP client to access your server or you can use 'File Manager' of cpanel to create 'tmp' folder.
Cpanel will look like this:
Filezilla will look like this: