How should I install flooring over fresh concrete?
First you should wait a minimum of 3 months before installing flooring on basement concrete.  This is usually a minimum.  I would suggest not sealing it either.  If its not sealed 100% you just made issue worse.  

I am pretty sure I installed these on a house last year too.  I recall that they are all "rubber" (vinyl).  I liked them a lot.  I recall too calling the manufacturer # and them telling me they would suggest no underlayment under concrete.  My first reaction was this was odd since almost all floating floor manufacturers want something under but it makes sense.  Your underlayment will hold water - the planks won't.  So minimal water should dry quickly with nothing - and that is what we did.  

Also I don't think you glue these - they have a good click lock system.  Read the instructions or call them but almost positive glue isn't an option.  

As for dricore that is a totally different thing.  You are doubling/tripling the install and money.  I for one wouldn't think about putting dricore down in a new basement.  I have many reasons but lets just say if I have a problem in the future I don't want to deal with 5000 pounds of dricore tiles.

And for the tile part - it is nothing like the plank flooring.  You would simply use thinset then tile (maybe a binding agent).