Name of the Uni have an effect machang

You can't simply say it is not... Many employers concider the degree depending on the name of the university.. This is because many Unis are specialised in different sectors.
Like Moratuwa in Engineering, Ruhuna (Galle) in Medicine and Peradeniya in Physical Science etc.
So the name of the Uni does matter machang... But not to a greater depth though
When you talk about the Job Market, you can't say which is the most needed segment. All the sections are important. But a combination of qualifications will definitely give you a good stable position.
As an example if you have an IT degree with an MBA (in Management) with some part qualifications in Marketing (CIM or something) then you are definitely prominent among others.
Likewise, what matters most is the vast area of qualifications. You qualifications should cover as much as possible of the whole domain of job market. Then you don't need to fear about a job...
In Australia the most needed skill these days is Building construction (Mason bass) Then Accountants, IT professionals (Mainly project managers and Quality controlers)