Assuming the start date and stop date is correct I believe it would. Here is link to an online epoch date converter:
Here is what the docs say:
/jl?pw=xxx&start=xxx&end=xxx&type=xxx or /jl?pw=xxx&hist=n&type=xxx
and here is an example from the same doc which gets data from Friday, October 17, 2014 5:36:07 PM (start=1413567367) to Saturday, October 18, 2014 6:36:07 PM (end=1413657367) GMT.
Example Return: (e.g. by requesting http://os-ip/jl?pw=xxx&start=1413567367&end=1413657367)
[[3,17,616,1413511817], [0,”rd”,86400,1413511845], [254,1,5,1413512107], [1,3,2700,1413552661], [5,3,1200,1413559201]]
I find the second command more useful and easy to use:
jl?pw=xxx&hist=n&type=xxx
where it just retrieves the data for the past n days.