Hm! A Google search reveals that "bombadier" is a frequently used spelling (probably wrong) for "bombardier." Merriam-Webster says that "The word you've entered (bombadier) isn't in the dictionary. Click on a spelling suggestion below or try again using the search box to the right.

Suggestions for bombadier:
         1. bombardier



bombardier
One entry found for bombardier.

Main Entry: bom·bar·dier
Pronunciation: "bäm-b&-'dir, -b&r-
Function: noun
1 a archaic : ARTILLERYMAN b : a noncommissioned officer in the British artillery
2 : a bomber-crew member who releases the bombs

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So I am going to conclude that "bombardier" is the correct title of address Jack intended and that his misspelling was due to a phonetics-based effort.

~S~