Let's say I draw the $2$ of hearts from a standard pack of $52$ playing cards, place it back in and shuffle it, what's the chance I would draw it again?

I'm thinking the other cards are now twice as likely to be drawn, so it would be $\dfrac 1{104}$, is my logic correct?

And what if we introduce more cards, say I draw the $2$ of hearts and the $3$ of diamonds, then try to redraw them. How would I calculate this?