If the gap is too wide to seal with silicone narrow trim molding can solve the problem.
Big gap between counter and wall.
If the countertop isn t level slide shims between the countertop and the support struts of the cabinet frame to level the countertop.
Set your compass to fit the tip in the widest gap between the countertop and the wall.
Close the gap between counter and wall if the gap between the countertop and backsplash is more than 3 8 inch it s generally too wide to fill and is best handled with trim but you can try to close the gap to give yourself the caulk option.
An obvious gap between a countertop and backsplash is unattractive and it can allow water to seep through.
The line will continue maintaining caulk gap regardless of the gap of the wall to counter.
Measure from the edge of the counter to the back of the stove to determine the correct size for the gap cover.
Many of the covers you will find will be of one uniform size.
The fix is to remove those counters and actually fix the wall.
If you can t do that then you are in over your head with this house and it will do noting but bleed you dry paying for people to do work for you.
2 phillips bit a flat pry bar wood shims and a hammer.
Tiles are started 1 8 off the counter leaving gap for caulk.
Remove the excess countertop up to the pencil line with a belt sander and a coarse 60 grit sanding belt.
You ll need a drill with a no.
Your tile person will take the largest gap and run a tape line using that as the thickness or the caulk.
If there is say an inch to inch and one half overhang across the front of your slab maybe the slab could be slid back say one half inch closer to the wall closing the gap enough that when you add a backsplash you could fill in the difference with foam backer stuffed into the space between back of countertop and wall and then use flexible caulk to close the gap would depend on how thick your backsplash is as to whether this might be a viable fix.
This will give you say a perfect 3 8 caulk line with an irregular wall to counter gap.
Measure the depth of your counter and cut the cover if necessary.