If you take the standard 34 1/2" base cabinet
I install kitchens. G.C. Know the specks. That 34 1/2" can change by an inch or so on rehab if bases needs to be scribed to the floor slope/dip to be level.
We never hang a kitchen measuring off a counter/height for many reasons
It all plays out from the finished heights that needs to be hit. The Higher pantry for an 8' hang still needs to be measured off finish floor to start the rest of the uppers at the correct height
If you are using 36" cabinets which go up to, or close to the ceiling, leave enough space between the top of the cabinet door and the ceiling for the molding
. That may not be an option if a pantry is involved or cut down the pantry base which all bases needs cut down. Can't do the top unless all tops are cut or the door heights will be off to pantry door
On rehabs when its wall to wall I will use a 3/4 ply on the whole wall over old plaster then drywall. This takes the waves out of the wall and makes a nice flat for cabs to sit against. Also you can change the whole layout and no worries for hanging or last minute cab change by customer The whole wall is a nailer
installing uppers first is a lot easier than lifting the uppers over the base cabinets
That's why I said work form the top finish height and no mistakes are made
Never did it other wise since I started hanging kit since 79
Note: The finish counter top can vary in thickens at its set height even though the profile looks the same. When making them on site this can change depending on the profile of the drop edge weather you add that drop edge on the edge of the hard board or double up the whole counter all together and set the counter like that. Large Customs Islands gets into that territory. It can make a difference on measuring off the counter top. If a pantry is going in then your screwed for tops of all cabs to level to the pantry.Thats why I added the pantry as the control for a finished height which need to be obtained no matter what the base is set at or a 30" cab or to ceiling a 42" cab
Should I take into consideration the tile size
Normally not. The backer board/sub floor is considered the finish height at that point. The 4" toe kick lessened is not an issue by a tile thickness. If we have a real funky floor we install the toe kick face board after the base cab is set to scribe that into the tile floor or a bad floor where we had to shim a base up high in the middle or a really bad end run. Depending on certain tiles'flagstone we build up all the bases so we have enough room for the dishwasher to fit or the fridge with overhead cab
how far the fan/went assembly should be from the stove?
That depends on the hood you get. Need to establish that in order to get the cabinet. Also the CFMs plays a role here.