Slight issue is that charger has a MINIUM setting to charge at 0.3A (300mA), which is too high for your 180mA lipos. No battery should ever be charged at over their capacity rating.

I would personally recommend a Pro Peak Quattro Plus. I've been using the original for 4 years now, never have a problem. The plus has the advantage because it has a built in mains plug, mine has a seperate 12v power supply.

BTW, when you said you had to build a power supply for a 9V battery, I'm not sure I follow.