that battery should be ok.
it also already have PCB so you can charge it safetly.
to charge it, you should use a little more voltage of the battery capacity.
if the battery is 14.8v you can try recharging with 16 or 17 volts.
I also used a 14.8v battery pack for my old project, it was a laptop battery packhttp://www.laptopbatterymart.com/laptop ... series.htm
I remember I used a 18.5v or a 19.5v charger to recharge it and had no issues with it ^^
it may run for arround 2 hours, maybe a little less, it depends of the screen.
I noticed the battery I used was 6600h and your pack is only your pack is 4400mAh (the more mAh the better for playing time ^^), and it is cheaper than your pack $49.11 vs $71.99.
however your pack looks smaller (better to fit into the portable case)
I think I got arround 2,5 - 3 hours of playtime with my portable with the 6600mAh batteries ^^