It looks like you have issues on your H: drive. SQL Server is just reporting issues from the OS when it tries to access the file, just as you'd receive if you tried to open the file in notepad.

You need to fix your disk issues here. If this is just tempdb, you can potentially start SQL Server in single user mode, and then move tempdb.

http://voiceofthedba.wordpress.com/2013/07/15/sql-server-needs-tempdb/