The Melbourne International Airport is just a 10 minute drive (2.5 miles to the south) from Florida Tech. If you need to use the Orlando Airport, then the drive will be 1 hour.
Public transportation in Melbourne is ineffective and difficult to use, especially on weekends. Rental cars from the airport are recommended.
Melbourne has many good hotels. There are beachfront hotels with a view or hotels close to the airport for your convenience. See below for more details.