Laser Diode and LEDs in parallel: LEDs don't light
When analysing non-linear impedance loads there are simple ways of expressing it with superposition to compute the net effects.

To simplify that, I propose all diodes have threshold voltage at say 10% of their current where LED's might be 10% bright and we say their forward voltage and current drawn are related to some threshold voltage Vt to get their rated forward voltage Vf. 

That is Vf= Vt + If*Rs where Rs is the bulk series resistance  where you can include your fixed R and equate to your battery voltage.

However your battery has a similar series resistance or ESR like Capacitors.

Vbat = Voc-I*ESR  for open cct Voc

Once all passive diode loads are defined , a set of linear equations can be created and the net shared current can be computed.  Keep in mind all diodes have a huge tolerance (>25%) on Rs, but that has improved a lot in LEDs with recent years with equipment process controls. It used to be like hFE tolerances.

But in your case lets just assume your Laser Vt is less than your Diode Vt and that the combination of your total load current and battery Rs resulted in the Vbat dropping below the threshold of your LEDs which I would guess are not Red.