Last 4 Pound Troubles.

I'm 5'4'', 123lbs (my initial goal) and realized I'm not quite there yet - aiming for 119, so I can easily understand the "last 4 pounds" issue:)
I do think that you've received very good advice there with strength training instead of cardio - it will slightly boost up your caloric needs and help you maintain or lose fat much easier. It will make you strong, lean and confident.
I also echo the fact that your snacking and light binging are a result of over-restriction. If you're feeling that way, it's not maintainable - so you should increase your intake.
I'm not sure of your actual goals, but theoretically the best solution out of this would be to eat at maintenance and start lifting

In a nutshell, if your weight is too hard to maintain but still have some fat to shed, you need to add lean mass:)