All that should be an easy fix once you get the right pieces.
Nothing to lose by trying.
do your self a favor and get a hot-air station trying to microsolder those caps with a hotip iron is going to suck and probly end with burnt pcb
I am wondering if those caps are for the sata or south bridge and the board isn't seeing the signal it wants on post
the first thing it does is try and initialize the PCH which is going to expect those things to be present
You can use a soldering iron if you can set it's temp, 380 - 400f / 193 - 204c is about the heat range you want.
However an airwand works too.
I've done such before with both methods and once you get the area cleaned and pre-tinned with a
tiny dot of solder at each solder spot the components themselves will be easy to set in place.
I normally use the airwand for this but as said it can be done with an iron too.
I just use the tip of a flathead screwdriver to hold the pieces in place and let them get hot, the solder melts and you're done. You'll feel the piece go down flat with the screwdriver, once that happens remove the heat, hold it for a few moments further with the screwdriver before taking it off the piece, let cool and test.
It's faster work with an iron by simply touching the very end of the pieces you're setting in place but I still use a screwdriver to hold them where I want them to be. Just be sure to pre-tin the spots on the board they would be soldered to and use flux when doing this on the spot and pieces.