Sql-server – SQL Server 2014 Restore DB only has “Verify Backup Media” option

No, for a restore you don't have to have the database existing already (be mindful though to not have the with replace option set in your restore database command).

The below statement would create a new database from the backup:

RESTORE DATABASE [YourNewDbName] 
FROM  DISK = N'C:\YourBackupFile.bak' 
WITH  FILE = 1,  
    MOVE N'YourDataFile' TO N'C:\YourNewDbName.mdf',  
    MOVE N'YourLogFile' TO N'C:\YourNewDbName_1.ldf',  
    NOUNLOAD,  
    STATS = 10
GO

Obviously, modify the parameters accordingly. But this doesn't require YourNewDbName to exist prior to the restore database.

This Is a Striped down version of the script I use to restore a great many databases at the same time. Hopefully I took out all of the parts that make it work for my scenario and left them with appropriate hints as to what to place in your version.

    -- Remove old DBs:
use [master]
go

DROP Database [YourDBName]
DROP Database [YourNextDBName]
DROP Database [AndSoOn]
DROP Database [AndSoForth]



GO

-- Create Restore List

Insert into [dbo].[BackupList] (DBName) Values ('YourDBName')
Insert into [dbo].[BackupList] (DBName) Values ('YourNextDBName')
Insert into [dbo].[BackupList] (DBName) Values ('AndSoOn')
Insert into [dbo].[BackupList] (DBName) Values ('AndSoForth')


GO

declare @counter [int]
declare @maxcounter [int]
declare @DBName [varchar](50)
declare @SQL1 [varchar](4000)
declare @SQL2 [varchar](4000)
declare @SQL3 [varchar](4000)
declare @SQL4 [varchar](4000)
set @counter = 0
select @maxcounter = max(id) from [dbo].[BackupList]


while @counter <= @maxcounter
BEGIN
                select @DBname = DBname from  .[dbo].[BackupList] where ID = @Counter

                IF @DBname LIKE '%WhateverYoursIsLike' 
                BEGIN
                SET @SQL1 = 'RESTORE DATABASE '+ QUOTENAME(@DBName) + ' FROM  DISK = ''YourBack-UpLocation' + @DBName + '.bak'' WITH  FILE = 1,  
                MOVE N''YourFileName'' TO ''YourRestoreLocation' + @DBName + '.mdf'', 
                MOVE N''YourFileName_log'' TO ''YourRestoreLocation' + @DBName + '.ldf'''
                exec(@sql1)
                print(@sql1)
                END



                set @counter = @counter + 1
END

GO
Use [em_support]
GO
truncate table [em_support].[dbo].[BackupList]
GO
DBCC CHECKIDENT (BackupList, RESEED, 0)
GO


--> Modify DB properties
DECLARE @DBName SYSNAME
DECLARE @Login SYSNAME
DECLARE @SQL NVARCHAR(4000)
DECLARE curModifyProperties CURSOR FOR
                SELECT [name]
                FROM sys.databases
                WHERE [name] LIKE '%WhateverYoursIsLike'

OPEN curModifyProperties
FETCH NEXT FROM curModifyProperties
INTO @DBName
WHILE @@FETCH_STATUS = 0
BEGIN

                --> BEG - Set trustworthy property
                SET @SQL = 'ALTER DATABASE '+QUOTENAME(@DBName)+' SET TRUSTWORTHY ON'
                EXEC (@SQL)
                --> END - Set trustworthy property

                --> BEG - Set database owner
                SET @SQL = QUOTENAME(@DBName)+'.[dbo].[sp_changedbowner] ''sa'''
                EXEC (@SQL)
                --> END - Set database owner

FETCH NEXT FROM curModifyProperties
INTO @DBName
END
CLOSE curModifyProperties
DEALLOCATE curModifyProperties 
GO

I hope that helps or at least points you in the right direction.