No.
"Handle" has a short a sound and what is called a schwa at the end. It is not "hand - il" but "hand - l".
A schwa is defined as an "unstressed and toneless neutral vowel sound", which is what the second syllable of the word handle has.
The word "mop" (a floor-cleaning implement with a handle) has a short vowel sound. The word "mope" (be dejected) has a long vowel sound.
Yes, the vowel in "handle" is short.
It has a short I sound.
The A has a short A sound, and the I has a short I sound.
Yes, the i in pit has a short vowel sound.
No. It has a short A sound and a short I sound (man-ij). The E has no sound.
Yes, the word "sock" has a short "o" sound, not a short "a" sound.
Yes. The A has the short A sound as in tap and back.
"and" has a short vowel sound. It is pronounced as /ænd/.
short I sound
The A has a short A (ah) sound as in cat and sat.
Yes. The A has a short A sound as in jagged or bracket.