want to purchase these doors:

https://www.homedepot.com/p/Hampton-Bay-Custom-Thermofoil-or-Finished-Wood-Cabinet-Door/315503116?57614-Width-in&57613-Height-in&58525-Rigid-Thermofoil&57760-White&57799-Shaker&57801-Square&57805-Soft-Close-Face-Frame-1-2-Overlay&57808-Left&57810-None&31448-Part-Number

for these closets:

https://www.modularclosets.com/products/vista-short-tower?_pos=8&_sid=d16c1d312&_ss=r?variant=42209766604982

here are the assembly instructions for doors if purchased from the closet company:

so my questions are:

1. do i expect the doors from home depot to be compatible to my closet units?

2. if so, what hinge options should i choose accordingly?

3. what mounting plate option (5/8" thick or 3/4" thick should i choose)? is there any way to tell how thick the cabinet walls are from the following specs:

4. I see from the closet manufacturer's website that the door height is slightly smaller than the cabinet height. is there a rule of thumb of how much smaller in height i should go on the doors if the cabinet full height is 36"?

5. how about the width of the doors, should the width of each door be exactly half the width of the closet or slightly smaller and if so how much smaller?

thank you very much!!