My hunch (only a hunch) is that someone else sent those messages and that someone isn't that bright.
I want to know if Jeanine actually made it to Queens. LE must be able to tell from bridge cameras/EZPass activity. Did she ever leave Staten Island? If she made it to Queens, did she ever return to Staten Island? For the moment, I'm assuming she did go to Queens, but that is just what the ex and girlfriend are claiming - I'm not sure that is true.
The car will be found, imo. Is there a good place around the ex's place to stash a car? Time for some map work, I think.
jmo