The Irish word for tear-drop is deoir.
The word in common with "gum," "kick," and "tear" is "drop." You can "drop" gum (as in dropping a piece of gum), "drop" a kick (as in executing a kick), and "drop" a tear (as in shedding a tear).
Mil is the Irish translation for honey
One possibility is the word tear.
reiligiún
tíogar
muinín
dorsán
deireadh
seirindipíocht serendipity
It depends on the context. In the context of "a teardrop came from her eye", it is one word. In the context of "he watched the tear drop to the floor", it is two words.
Kayla doesn't mean anything it Irish; it's not an Irish word.
In Irish the word for 'picture' is pictiúr (pronounced pict-yoor).