I’m sure these type of questions need to be responded to carefully, and perhaps there would be a place in Trump’s administration for Carson, Cruz, etc. That being said, I hope Trump appoints capable people and doesn’t do the usual ‘everyone get a prize’ kind of nominating we have seen.
I can assure you that Trump will hire purely on the basis of competency. It would reflect poorly on his brand to do otherwise (and his brand at that point would be President Donald Trump and the Trump Administration).