While using Mission Control and pressing Control ⌃+↑, I get the tiled view of all the applications in that particular desktop. Is there a keyboard shortcut to choose an application in this view?
Try hyperswitch (https://bahoom.com/hyperswitch) - you can switch between windows only from current desktop.
No. I haven't found any, but that's not surprising. Mission Control was provided for mouse / touch interaction. Have you tried using Command ⌘+Tab for app switching and Command ⌘+`for window switching?
They are much more efficient if you're interested in keeping your hands on the keys.
You can type the name of the window (not the name of the app) and it will select the windows in mission control that matchs. What I don't know how to swicth between all the coincidences.