Assuming that is an AMC7135 driver, yes that will work. The only thing incorrect with your diagram is the laser diode; all IR laser diodes are case positive. Your configuration will not work with 2V, and even if it did I don't know of any batteries that provide 2V. You'd be best off using 3V or more for this.
Your configuration looks correct. The only thing that concerns me is how in that last picture, it appears that the negative input is shorting with the positive input. Make sure that none of your soldering connections are shorting.
Also, what batteries and voltage are you using? For this build I would recommend any lithiums that aren't button cell.